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Finding the Fourth Proportional to 1,337.38, 2,006.10 and 363.46

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Solution

The fourth proportional to 1,337.38, 2,006.10 and 363.46 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.38 : 2,006.10 = 363.46 : x
  2. Step 2: Convert to fraction form
    1,337.38/2,006.10 = 363.46/x
  3. Step 3: Cross multiply
    1,337.38x = 2,006.10 × 363.46
  4. Step 4: Simplify right side
    1,337.38x = 729,137.11
  5. Step 5: Solve for x
    x = 729,137.11/1,337.38
  6. Step 6: Final answer
    x = 545.20

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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.