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Finding the Fourth Proportional to 2,138.27, 3,207.90 and 839.75

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Solution

The fourth proportional to 2,138.27, 3,207.90 and 839.75 is: 1,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.27 : 3,207.90 = 839.75 : x
  2. Step 2: Convert to fraction form
    2,138.27/3,207.90 = 839.75/x
  3. Step 3: Cross multiply
    2,138.27x = 3,207.90 × 839.75
  4. Step 4: Simplify right side
    2,138.27x = 2,693,834.03
  5. Step 5: Solve for x
    x = 2,693,834.03/2,138.27
  6. Step 6: Final answer
    x = 1,259.82

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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.