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Finding the Fourth Proportional to 2,115.59, 3,170.64 and 881.31

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Solution

The fourth proportional to 2,115.59, 3,170.64 and 881.31 is: 1,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.59 : 3,170.64 = 881.31 : x
  2. Step 2: Convert to fraction form
    2,115.59/3,170.64 = 881.31/x
  3. Step 3: Cross multiply
    2,115.59x = 3,170.64 × 881.31
  4. Step 4: Simplify right side
    2,115.59x = 2,794,331.93
  5. Step 5: Solve for x
    x = 2,794,331.93/2,115.59
  6. Step 6: Final answer
    x = 1,320.83

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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.