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Finding the Fourth Proportional to 2,665.50, 3,997.63 and 717.85

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Solution

The fourth proportional to 2,665.50, 3,997.63 and 717.85 is: 1,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.50 : 3,997.63 = 717.85 : x
  2. Step 2: Convert to fraction form
    2,665.50/3,997.63 = 717.85/x
  3. Step 3: Cross multiply
    2,665.50x = 3,997.63 × 717.85
  4. Step 4: Simplify right side
    2,665.50x = 2,869,698.70
  5. Step 5: Solve for x
    x = 2,869,698.70/2,665.50
  6. Step 6: Final answer
    x = 1,076.61

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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.