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Finding the Fourth Proportional to 3,171.88, 4,757.59 and 1,091.80

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Solution

The fourth proportional to 3,171.88, 4,757.59 and 1,091.80 is: 1,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.88 : 4,757.59 = 1,091.80 : x
  2. Step 2: Convert to fraction form
    3,171.88/4,757.59 = 1,091.80/x
  3. Step 3: Cross multiply
    3,171.88x = 4,757.59 × 1,091.80
  4. Step 4: Simplify right side
    3,171.88x = 5,194,336.76
  5. Step 5: Solve for x
    x = 5,194,336.76/3,171.88
  6. Step 6: Final answer
    x = 1,637.62

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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.