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Finding the Fourth Proportional to 2,472.56, 3,434.78 and 2,449.52

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Solution

The fourth proportional to 2,472.56, 3,434.78 and 2,449.52 is: 3,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.56 : 3,434.78 = 2,449.52 : x
  2. Step 2: Convert to fraction form
    2,472.56/3,434.78 = 2,449.52/x
  3. Step 3: Cross multiply
    2,472.56x = 3,434.78 × 2,449.52
  4. Step 4: Simplify right side
    2,472.56x = 8,413,562.31
  5. Step 5: Solve for x
    x = 8,413,562.31/2,472.56
  6. Step 6: Final answer
    x = 3,402.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.