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Finding the Fourth Proportional to 1,489.08, 2,231.97 and 757.14

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Solution

The fourth proportional to 1,489.08, 2,231.97 and 757.14 is: 1,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.08 : 2,231.97 = 757.14 : x
  2. Step 2: Convert to fraction form
    1,489.08/2,231.97 = 757.14/x
  3. Step 3: Cross multiply
    1,489.08x = 2,231.97 × 757.14
  4. Step 4: Simplify right side
    1,489.08x = 1,689,913.77
  5. Step 5: Solve for x
    x = 1,689,913.77/1,489.08
  6. Step 6: Final answer
    x = 1,134.87

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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.