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Finding the Fourth Proportional to 2,665.18, 3,997.86 and 717.46

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Solution

The fourth proportional to 2,665.18, 3,997.86 and 717.46 is: 1,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.18 : 3,997.86 = 717.46 : x
  2. Step 2: Convert to fraction form
    2,665.18/3,997.86 = 717.46/x
  3. Step 3: Cross multiply
    2,665.18x = 3,997.86 × 717.46
  4. Step 4: Simplify right side
    2,665.18x = 2,868,304.64
  5. Step 5: Solve for x
    x = 2,868,304.64/2,665.18
  6. Step 6: Final answer
    x = 1,076.21

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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.