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Finding the Fourth Proportional to 2,472.96, 3,710.10 and 1,086.62

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Solution

The fourth proportional to 2,472.96, 3,710.10 and 1,086.62 is: 1,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.96 : 3,710.10 = 1,086.62 : x
  2. Step 2: Convert to fraction form
    2,472.96/3,710.10 = 1,086.62/x
  3. Step 3: Cross multiply
    2,472.96x = 3,710.10 × 1,086.62
  4. Step 4: Simplify right side
    2,472.96x = 4,031,454.39
  5. Step 5: Solve for x
    x = 4,031,454.39/2,472.96
  6. Step 6: Final answer
    x = 1,630.21

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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.