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Finding the Fourth Proportional to 2,186.39, 3,277.52 and 724.74

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Solution

The fourth proportional to 2,186.39, 3,277.52 and 724.74 is: 1,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.39 : 3,277.52 = 724.74 : x
  2. Step 2: Convert to fraction form
    2,186.39/3,277.52 = 724.74/x
  3. Step 3: Cross multiply
    2,186.39x = 3,277.52 × 724.74
  4. Step 4: Simplify right side
    2,186.39x = 2,375,349.84
  5. Step 5: Solve for x
    x = 2,375,349.84/2,186.39
  6. Step 6: Final answer
    x = 1,086.43

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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.