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Finding the Fourth Proportional to 2,665.49, 3,998.23 and 717.69

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Solution

The fourth proportional to 2,665.49, 3,998.23 and 717.69 is: 1,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.49 : 3,998.23 = 717.69 : x
  2. Step 2: Convert to fraction form
    2,665.49/3,998.23 = 717.69/x
  3. Step 3: Cross multiply
    2,665.49x = 3,998.23 × 717.69
  4. Step 4: Simplify right side
    2,665.49x = 2,869,489.69
  5. Step 5: Solve for x
    x = 2,869,489.69/2,665.49
  6. Step 6: Final answer
    x = 1,076.53

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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.