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Finding the Fourth Proportional to 2,472.96, 3,710.04 and 1,012.32

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Solution

The fourth proportional to 2,472.96, 3,710.04 and 1,012.32 is: 1,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.96 : 3,710.04 = 1,012.32 : x
  2. Step 2: Convert to fraction form
    2,472.96/3,710.04 = 1,012.32/x
  3. Step 3: Cross multiply
    2,472.96x = 3,710.04 × 1,012.32
  4. Step 4: Simplify right side
    2,472.96x = 3,755,747.69
  5. Step 5: Solve for x
    x = 3,755,747.69/2,472.96
  6. Step 6: Final answer
    x = 1,518.73

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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.