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Finding the Fourth Proportional to 2,496.75, 3,747.96 and 1,457.52

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Solution

The fourth proportional to 2,496.75, 3,747.96 and 1,457.52 is: 2,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.75 : 3,747.96 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    2,496.75/3,747.96 = 1,457.52/x
  3. Step 3: Cross multiply
    2,496.75x = 3,747.96 × 1,457.52
  4. Step 4: Simplify right side
    2,496.75x = 5,462,726.66
  5. Step 5: Solve for x
    x = 5,462,726.66/2,496.75
  6. Step 6: Final answer
    x = 2,187.93

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