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Finding the Fourth Proportional to 2,489.56, 3,732.18 and 1,667.44

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Solution

The fourth proportional to 2,489.56, 3,732.18 and 1,667.44 is: 2,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.56 : 3,732.18 = 1,667.44 : x
  2. Step 2: Convert to fraction form
    2,489.56/3,732.18 = 1,667.44/x
  3. Step 3: Cross multiply
    2,489.56x = 3,732.18 × 1,667.44
  4. Step 4: Simplify right side
    2,489.56x = 6,223,186.22
  5. Step 5: Solve for x
    x = 6,223,186.22/2,489.56
  6. Step 6: Final answer
    x = 2,499.71

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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.