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Finding the Fourth Proportional to 3,171.80, 4,761.60 and 2,001.80

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Solution

The fourth proportional to 3,171.80, 4,761.60 and 2,001.80 is: 3,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.80 : 4,761.60 = 2,001.80 : x
  2. Step 2: Convert to fraction form
    3,171.80/4,761.60 = 2,001.80/x
  3. Step 3: Cross multiply
    3,171.80x = 4,761.60 × 2,001.80
  4. Step 4: Simplify right side
    3,171.80x = 9,531,770.88
  5. Step 5: Solve for x
    x = 9,531,770.88/3,171.80
  6. Step 6: Final answer
    x = 3,005.16

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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.