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Finding the Fourth Proportional to 3,254.78, 4,882.17 and 789.56

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Solution

The fourth proportional to 3,254.78, 4,882.17 and 789.56 is: 1,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.78 : 4,882.17 = 789.56 : x
  2. Step 2: Convert to fraction form
    3,254.78/4,882.17 = 789.56/x
  3. Step 3: Cross multiply
    3,254.78x = 4,882.17 × 789.56
  4. Step 4: Simplify right side
    3,254.78x = 3,854,766.15
  5. Step 5: Solve for x
    x = 3,854,766.15/3,254.78
  6. Step 6: Final answer
    x = 1,184.34

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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.