In ΔABC, D and E are points on sides AB and BC, respectively, such that BD ∶ DA = 1 ∶ 2 and CE ∶ EB = 1 ∶ 4, If DC and AE intersect at F, then FD ∶ FC is equal to:

1
3 ∶ 2
2
4 ∶ 1
3
5 ∶ 2
4
8 ∶ 3

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