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Finding the Fourth Proportional to 2,691.45, 4,037.13 and 743.65

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Solution

The fourth proportional to 2,691.45, 4,037.13 and 743.65 is: 1,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.45 : 4,037.13 = 743.65 : x
  2. Step 2: Convert to fraction form
    2,691.45/4,037.13 = 743.65/x
  3. Step 3: Cross multiply
    2,691.45x = 4,037.13 × 743.65
  4. Step 4: Simplify right side
    2,691.45x = 3,002,201.63
  5. Step 5: Solve for x
    x = 3,002,201.63/2,691.45
  6. Step 6: Final answer
    x = 1,115.46

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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.