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Finding the Fourth Proportional to 2,691.95, 4,037.60 and 717.73

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Solution

The fourth proportional to 2,691.95, 4,037.60 and 717.73 is: 1,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.95 : 4,037.60 = 717.73 : x
  2. Step 2: Convert to fraction form
    2,691.95/4,037.60 = 717.73/x
  3. Step 3: Cross multiply
    2,691.95x = 4,037.60 × 717.73
  4. Step 4: Simplify right side
    2,691.95x = 2,897,906.65
  5. Step 5: Solve for x
    x = 2,897,906.65/2,691.95
  6. Step 6: Final answer
    x = 1,076.51

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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.