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Finding the Fourth Proportional to 3,171.81, 4,757.67 and 863.31

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Solution

The fourth proportional to 3,171.81, 4,757.67 and 863.31 is: 1,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.81 : 4,757.67 = 863.31 : x
  2. Step 2: Convert to fraction form
    3,171.81/4,757.67 = 863.31/x
  3. Step 3: Cross multiply
    3,171.81x = 4,757.67 × 863.31
  4. Step 4: Simplify right side
    3,171.81x = 4,107,344.09
  5. Step 5: Solve for x
    x = 4,107,344.09/3,171.81
  6. Step 6: Final answer
    x = 1,294.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.