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Finding the Fourth Proportional to 2,138.78, 3,209.61 and 752.13

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Solution

The fourth proportional to 2,138.78, 3,209.61 and 752.13 is: 1,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.78 : 3,209.61 = 752.13 : x
  2. Step 2: Convert to fraction form
    2,138.78/3,209.61 = 752.13/x
  3. Step 3: Cross multiply
    2,138.78x = 3,209.61 × 752.13
  4. Step 4: Simplify right side
    2,138.78x = 2,414,027.92
  5. Step 5: Solve for x
    x = 2,414,027.92/2,138.78
  6. Step 6: Final answer
    x = 1,128.69

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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.