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Finding the Fourth Proportional to 3,171.13, 4,376.17 and 1,773.88

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Solution

The fourth proportional to 3,171.13, 4,376.17 and 1,773.88 is: 2,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.13 : 4,376.17 = 1,773.88 : x
  2. Step 2: Convert to fraction form
    3,171.13/4,376.17 = 1,773.88/x
  3. Step 3: Cross multiply
    3,171.13x = 4,376.17 × 1,773.88
  4. Step 4: Simplify right side
    3,171.13x = 7,762,774.12
  5. Step 5: Solve for x
    x = 7,762,774.12/3,171.13
  6. Step 6: Final answer
    x = 2,447.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.