1989 AHSME Problems/Problem 13

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Let $a$, $b$, $c$, and $d$ be integers with $a<2b$, $b<3c$, and $c<4d$. If $d<100$, the largest possible value for $a$ is

$\mathrm{(A) \ 2367 } \qquad \mathrm{(B) \ 2375 } \qquad \mathrm{(C) \ 2391 } \qquad \mathrm{(D) \ 2399 } \qquad \mathrm{(E) \ 2400 }$