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Finding the Fourth Proportional to 3,171.70, 4,757.55 and 2,134.90

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Solution

The fourth proportional to 3,171.70, 4,757.55 and 2,134.90 is: 3,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.70 : 4,757.55 = 2,134.90 : x
  2. Step 2: Convert to fraction form
    3,171.70/4,757.55 = 2,134.90/x
  3. Step 3: Cross multiply
    3,171.70x = 4,757.55 × 2,134.90
  4. Step 4: Simplify right side
    3,171.70x = 10,156,893.50
  5. Step 5: Solve for x
    x = 10,156,893.50/3,171.70
  6. Step 6: Final answer
    x = 3,202.35

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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.