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Finding the Fourth Proportional to 2,732.48, 4,098.76 and 680.48

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Solution

The fourth proportional to 2,732.48, 4,098.76 and 680.48 is: 1,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.48 : 4,098.76 = 680.48 : x
  2. Step 2: Convert to fraction form
    2,732.48/4,098.76 = 680.48/x
  3. Step 3: Cross multiply
    2,732.48x = 4,098.76 × 680.48
  4. Step 4: Simplify right side
    2,732.48x = 2,789,124.20
  5. Step 5: Solve for x
    x = 2,789,124.20/2,732.48
  6. Step 6: Final answer
    x = 1,020.73

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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.