Respuesta :
Answer:
The second number is 225.
Step-by-step explanation:
Consider the provided information.
Let the first number is x.
Second number
[tex]\dfrac{x}{\text{Second number}} =\dfrac{2}{3}\\\\\text{Second number}=\dfrac{3}{2}x[/tex]
Third number is:
[tex]\dfrac{\text{Second number}}{\text{Third number}} =\dfrac{5}{4}\\\\\text{Third number}=\dfrac{3}{2}x\times\dfrac{4}{5}=\dfrac{6}{5}x[/tex]
Fourth number is:
[tex]\dfrac{\text{Third number}}{\text{Fourth number}} =\dfrac{5}{6}\\\\\text{Fourth number}=\dfrac{6}{5}x\times\dfrac{6}{5}=\dfrac{36}{25}x[/tex]
The sum of 4 numbers is 771.
[tex]x+\dfrac{3}{2}x+\dfrac{6}{5}x+\dfrac{36}{25}x=771[/tex]
[tex]50x+75x+60x+72x=38550[/tex]
[tex]257x=38550\\x=150[/tex]
First number is 150.
[tex]\text{Second number}=\dfrac{3}{2}\times150=225[/tex]
Hence, the second number is 225.
