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Finding the Fourth Proportional to 2,462.53, 3,693.76 and 1,421.87

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Solution

The fourth proportional to 2,462.53, 3,693.76 and 1,421.87 is: 2,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.53 : 3,693.76 = 1,421.87 : x
  2. Step 2: Convert to fraction form
    2,462.53/3,693.76 = 1,421.87/x
  3. Step 3: Cross multiply
    2,462.53x = 3,693.76 × 1,421.87
  4. Step 4: Simplify right side
    2,462.53x = 5,252,039.70
  5. Step 5: Solve for x
    x = 5,252,039.70/2,462.53
  6. Step 6: Final answer
    x = 2,132.78

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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.