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Finding the Fourth Proportional to 2,113.85, 3,171.71 and 728.18

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Solution

The fourth proportional to 2,113.85, 3,171.71 and 728.18 is: 1,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.85 : 3,171.71 = 728.18 : x
  2. Step 2: Convert to fraction form
    2,113.85/3,171.71 = 728.18/x
  3. Step 3: Cross multiply
    2,113.85x = 3,171.71 × 728.18
  4. Step 4: Simplify right side
    2,113.85x = 2,309,575.79
  5. Step 5: Solve for x
    x = 2,309,575.79/2,113.85
  6. Step 6: Final answer
    x = 1,092.59

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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.