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Finding the Fourth Proportional to 2,462.72, 3,694.97 and 1,524.57

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Solution

The fourth proportional to 2,462.72, 3,694.97 and 1,524.57 is: 2,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.72 : 3,694.97 = 1,524.57 : x
  2. Step 2: Convert to fraction form
    2,462.72/3,694.97 = 1,524.57/x
  3. Step 3: Cross multiply
    2,462.72x = 3,694.97 × 1,524.57
  4. Step 4: Simplify right side
    2,462.72x = 5,633,242.58
  5. Step 5: Solve for x
    x = 5,633,242.58/2,462.72
  6. Step 6: Final answer
    x = 2,287.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.