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Finding the Fourth Proportional to 2,462.38, 3,693.56 and 2,400.41

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Solution

The fourth proportional to 2,462.38, 3,693.56 and 2,400.41 is: 3,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.38 : 3,693.56 = 2,400.41 : x
  2. Step 2: Convert to fraction form
    2,462.38/3,693.56 = 2,400.41/x
  3. Step 3: Cross multiply
    2,462.38x = 3,693.56 × 2,400.41
  4. Step 4: Simplify right side
    2,462.38x = 8,866,058.36
  5. Step 5: Solve for x
    x = 8,866,058.36/2,462.38
  6. Step 6: Final answer
    x = 3,600.61

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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.