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Finding the Fourth Proportional to 2,729.38, 3,766.20 and 1,550.20

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Solution

The fourth proportional to 2,729.38, 3,766.20 and 1,550.20 is: 2,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.38 : 3,766.20 = 1,550.20 : x
  2. Step 2: Convert to fraction form
    2,729.38/3,766.20 = 1,550.20/x
  3. Step 3: Cross multiply
    2,729.38x = 3,766.20 × 1,550.20
  4. Step 4: Simplify right side
    2,729.38x = 5,838,363.24
  5. Step 5: Solve for x
    x = 5,838,363.24/2,729.38
  6. Step 6: Final answer
    x = 2,139.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.