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Finding the Fourth Proportional to 2,732, 4,098.48 and 1,000.24

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Solution

The fourth proportional to 2,732, 4,098.48 and 1,000.24 is: 1,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732 : 4,098.48 = 1,000.24 : x
  2. Step 2: Convert to fraction form
    2,732/4,098.48 = 1,000.24/x
  3. Step 3: Cross multiply
    2,732x = 4,098.48 × 1,000.24
  4. Step 4: Simplify right side
    2,732x = 4,099,463.64
  5. Step 5: Solve for x
    x = 4,099,463.64/2,732
  6. Step 6: Final answer
    x = 1,500.54

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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.