The number is:
285
It is given that:
1 2/3% of a number is 4.75.
Let the number be x.
We know that:
[tex]1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}=\dfrac{5}{3}[/tex]
This means that:
[tex]\dfrac{5}{3}\%\ of\ x=4.75[/tex]
i.e.
[tex]\dfrac{5}{3\times 100}\times x=4.75\\\\\dfrac{1}{60}\times x=4.75\\\\x=4.75\times 60\\\\x=285[/tex]
Hence, the number is: 285
The number obtained by setting up a proportional relationship is 285
Let the number = d
Setting up a proportional relationship thus :
This can be expressed thus :
0.0166666 = 4.75
1 = d
Cross multiply
0.0166666d = 4.75
Divide both sides by 0.0166666
0.0166666d / 0.0166666 = 4.75 / 0.0166666
d = 285
Therefore, the value of the original number is 285.
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