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Finding the Fourth Proportional to 3,129.71, 4,694.38 and 789.71

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Solution

The fourth proportional to 3,129.71, 4,694.38 and 789.71 is: 1,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.71 : 4,694.38 = 789.71 : x
  2. Step 2: Convert to fraction form
    3,129.71/4,694.38 = 789.71/x
  3. Step 3: Cross multiply
    3,129.71x = 4,694.38 × 789.71
  4. Step 4: Simplify right side
    3,129.71x = 3,707,198.83
  5. Step 5: Solve for x
    x = 3,707,198.83/3,129.71
  6. Step 6: Final answer
    x = 1,184.52

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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.