[tex]\{2,3,4\}i.p.\{a,b,c\}=\ \textgreater \ \frac{2}{\frac{1}{a}}=\frac{3}{\frac{1}{b}}=\frac{4}{\frac{1}{c}}=k=\ \textgreater \ \\
2=\frac{k}{a}=\ \textgreater \ a=\frac{k}{2}\\
3=\frac{k}{b}=\ \textgreater \ b=\frac{k}{3}\\
4=\frac{k}{c}=\ \textgreater \ c=\frac{k}{4}\\
a*b*c=\frac{1}{3}\\
\frac{k}{2}*\frac{k}{3}*\frac{k}{4}=\frac{1}{3}\\
\frac{k^3}{24}=\frac{1}{3}\\
k^3=8=\ \textgreater \ k=2\\
a=1,b=\frac{3}{2},c=\frac{1}{2}[/tex]
