Dora is the fourth named storm of the eastern Pacific season and became a Category 4 hurricane Wednesday evening.
Dora is packing sustained winds of 220 km/h with higher gusts.
Mexican authorities issued a tropical storm watch from Lazaro Cardenas to Cabo Corrientes advising of the potential for tropical storm conditions earlier this week.
Large waves and strong winds lashed the coastline prompting a major shipping port to close. Over 200 fishermen in the community of Playa Vicente are suffering setbacks as well as significant flooding destroyed their homes, storage buildings and offices.
Hundreds of shelters have been set up in flood-prone areas along the coast including the popular tourist city of Acapulco.
The government however, discontinued all of the watches in place on Thursday as Dora moves away from Mexico. The storm is expected to strengthen some before weakening on Friday.
Tropical Storm Bret
Tropical storm Bret is the second named storm of the Atlantic season. It formed near the northern Bahamas on Sunday, prompting authorities to issue a tropical storm warning for Grand Bahama Island and the Abaco Islands.
The watches and warnings were later dropped on Tuesday as Bret began slowing down.
The National Hurricane Center says the centre of the storm should remain well offshore. Bret continues to weaken as it moves northeast away from the Bahamas and well off the U.S. Atlantic Coast.
Bret is expected to weaken to a tropical depression by Thursday.
Tropical Storm Cindy
Tropical storm Cindy formed in the open Atlantic north of Bermuda late Wednesday afternoon. Cindy is situated over warm waters, which could lead her to strengthen somewhat. However, forecasters at the National Hurricane Centre say as the storm tracks north, it will encounter cooler water and quickly dissipate.
It is not expected to affect any landforms, and no watches or warnings are in place.
Storms are named before they're born. Check out what this season's storms in the Pacific and Atlantic will be called.
With files from Jill Colton.