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Finding the Fourth Proportional to 2,665.49, 3,997.76 and 717.89

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Solution

The fourth proportional to 2,665.49, 3,997.76 and 717.89 is: 1,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.49 : 3,997.76 = 717.89 : x
  2. Step 2: Convert to fraction form
    2,665.49/3,997.76 = 717.89/x
  3. Step 3: Cross multiply
    2,665.49x = 3,997.76 × 717.89
  4. Step 4: Simplify right side
    2,665.49x = 2,869,928.35
  5. Step 5: Solve for x
    x = 2,869,928.35/2,665.49
  6. Step 6: Final answer
    x = 1,076.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.