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Finding the Fourth Proportional to 2,115.10, 3,171.82 and 728.18

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Solution

The fourth proportional to 2,115.10, 3,171.82 and 728.18 is: 1,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.10 : 3,171.82 = 728.18 : x
  2. Step 2: Convert to fraction form
    2,115.10/3,171.82 = 728.18/x
  3. Step 3: Cross multiply
    2,115.10x = 3,171.82 × 728.18
  4. Step 4: Simplify right side
    2,115.10x = 2,309,655.89
  5. Step 5: Solve for x
    x = 2,309,655.89/2,115.10
  6. Step 6: Final answer
    x = 1,091.98

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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.