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Finding the Fourth Proportional to 2,732.10, 4,098.12 and 757.74

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Solution

The fourth proportional to 2,732.10, 4,098.12 and 757.74 is: 1,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.10 : 4,098.12 = 757.74 : x
  2. Step 2: Convert to fraction form
    2,732.10/4,098.12 = 757.74/x
  3. Step 3: Cross multiply
    2,732.10x = 4,098.12 × 757.74
  4. Step 4: Simplify right side
    2,732.10x = 3,105,309.45
  5. Step 5: Solve for x
    x = 3,105,309.45/2,732.10
  6. Step 6: Final answer
    x = 1,136.60

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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.