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Finding the Fourth Proportional to 2,489.65, 3,734.47 and 1,027.19

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Solution

The fourth proportional to 2,489.65, 3,734.47 and 1,027.19 is: 1,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.65 : 3,734.47 = 1,027.19 : x
  2. Step 2: Convert to fraction form
    2,489.65/3,734.47 = 1,027.19/x
  3. Step 3: Cross multiply
    2,489.65x = 3,734.47 × 1,027.19
  4. Step 4: Simplify right side
    2,489.65x = 3,836,022.14
  5. Step 5: Solve for x
    x = 3,836,022.14/2,489.65
  6. Step 6: Final answer
    x = 1,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.