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Finding the Fourth Proportional to 2,686.22, 4,029.57 and 738.43

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Solution

The fourth proportional to 2,686.22, 4,029.57 and 738.43 is: 1,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.22 : 4,029.57 = 738.43 : x
  2. Step 2: Convert to fraction form
    2,686.22/4,029.57 = 738.43/x
  3. Step 3: Cross multiply
    2,686.22x = 4,029.57 × 738.43
  4. Step 4: Simplify right side
    2,686.22x = 2,975,545.30
  5. Step 5: Solve for x
    x = 2,975,545.30/2,686.22
  6. Step 6: Final answer
    x = 1,107.71

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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.