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Finding the Fourth Proportional to 3,171.22, 4,375.89 and 1,773.62

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Solution

The fourth proportional to 3,171.22, 4,375.89 and 1,773.62 is: 2,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.22 : 4,375.89 = 1,773.62 : x
  2. Step 2: Convert to fraction form
    3,171.22/4,375.89 = 1,773.62/x
  3. Step 3: Cross multiply
    3,171.22x = 4,375.89 × 1,773.62
  4. Step 4: Simplify right side
    3,171.22x = 7,761,166.02
  5. Step 5: Solve for x
    x = 7,761,166.02/3,171.22
  6. Step 6: Final answer
    x = 2,447.38

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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.