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Finding the Fourth Proportional to 2,732.28, 4,098.02 and 1,000.50

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Solution

The fourth proportional to 2,732.28, 4,098.02 and 1,000.50 is: 1,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.28 : 4,098.02 = 1,000.50 : x
  2. Step 2: Convert to fraction form
    2,732.28/4,098.02 = 1,000.50/x
  3. Step 3: Cross multiply
    2,732.28x = 4,098.02 × 1,000.50
  4. Step 4: Simplify right side
    2,732.28x = 4,100,064.01
  5. Step 5: Solve for x
    x = 4,100,064.01/2,732.28
  6. Step 6: Final answer
    x = 1,500.60

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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.