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Finding the Fourth Proportional to 2,732.48, 4,099.13 and 1,000.97

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Solution

The fourth proportional to 2,732.48, 4,099.13 and 1,000.97 is: 1,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.48 : 4,099.13 = 1,000.97 : x
  2. Step 2: Convert to fraction form
    2,732.48/4,099.13 = 1,000.97/x
  3. Step 3: Cross multiply
    2,732.48x = 4,099.13 × 1,000.97
  4. Step 4: Simplify right side
    2,732.48x = 4,103,099.78
  5. Step 5: Solve for x
    x = 4,103,099.78/2,732.48
  6. Step 6: Final answer
    x = 1,501.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.