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Finding the Fourth Proportional to 3,171.54, 4,757.34 and 863.04

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Solution

The fourth proportional to 3,171.54, 4,757.34 and 863.04 is: 1,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.54 : 4,757.34 = 863.04 : x
  2. Step 2: Convert to fraction form
    3,171.54/4,757.34 = 863.04/x
  3. Step 3: Cross multiply
    3,171.54x = 4,757.34 × 863.04
  4. Step 4: Simplify right side
    3,171.54x = 4,105,774.71
  5. Step 5: Solve for x
    x = 4,105,774.71/3,171.54
  6. Step 6: Final answer
    x = 1,294.57

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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.