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Finding the Fourth Proportional to 3,171.48, 4,758.27 and 2,000.13

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Solution

The fourth proportional to 3,171.48, 4,758.27 and 2,000.13 is: 3,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.48 : 4,758.27 = 2,000.13 : x
  2. Step 2: Convert to fraction form
    3,171.48/4,758.27 = 2,000.13/x
  3. Step 3: Cross multiply
    3,171.48x = 4,758.27 × 2,000.13
  4. Step 4: Simplify right side
    3,171.48x = 9,517,158.58
  5. Step 5: Solve for x
    x = 9,517,158.58/3,171.48
  6. Step 6: Final answer
    x = 3,000.86

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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.