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Finding the Fourth Proportional to 3,254.49, 4,881.70 and 789.31

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Solution

The fourth proportional to 3,254.49, 4,881.70 and 789.31 is: 1,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.49 : 4,881.70 = 789.31 : x
  2. Step 2: Convert to fraction form
    3,254.49/4,881.70 = 789.31/x
  3. Step 3: Cross multiply
    3,254.49x = 4,881.70 × 789.31
  4. Step 4: Simplify right side
    3,254.49x = 3,853,154.66
  5. Step 5: Solve for x
    x = 3,853,154.66/3,254.49
  6. Step 6: Final answer
    x = 1,183.95

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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.