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Finding the Fourth Proportional to 3,229.38, 4,844.56 and 1,380.50

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Solution

The fourth proportional to 3,229.38, 4,844.56 and 1,380.50 is: 2,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.38 : 4,844.56 = 1,380.50 : x
  2. Step 2: Convert to fraction form
    3,229.38/4,844.56 = 1,380.50/x
  3. Step 3: Cross multiply
    3,229.38x = 4,844.56 × 1,380.50
  4. Step 4: Simplify right side
    3,229.38x = 6,687,915.08
  5. Step 5: Solve for x
    x = 6,687,915.08/3,229.38
  6. Step 6: Final answer
    x = 2,070.96

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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.