Three vessels of equal capacity are filled with a solution of alcohol and water. The ratio of alcohol and water in the first vessel is 2 ∶ 3, in the second vessel is 3 ∶ 4 , and in the third vessel is 4 ∶ 5. The solution of these 3 vessels is mixed into a bigger vessel. What is the ratio of alcohol to water in the bigger vessel?

1
401 : 544
2
467 ∶ 567
3
401 ∶ 444
4
467 ∶ 544
5
None of these

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