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Finding the Fourth Proportional to 2,185.81, 3,278.71 and 724.57

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Solution

The fourth proportional to 2,185.81, 3,278.71 and 724.57 is: 1,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.81 : 3,278.71 = 724.57 : x
  2. Step 2: Convert to fraction form
    2,185.81/3,278.71 = 724.57/x
  3. Step 3: Cross multiply
    2,185.81x = 3,278.71 × 724.57
  4. Step 4: Simplify right side
    2,185.81x = 2,375,654.90
  5. Step 5: Solve for x
    x = 2,375,654.90/2,185.81
  6. Step 6: Final answer
    x = 1,086.85

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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.