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Finding the Fourth Proportional to 2,138.09, 3,207.33 and 839.25

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Solution

The fourth proportional to 2,138.09, 3,207.33 and 839.25 is: 1,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.09 : 3,207.33 = 839.25 : x
  2. Step 2: Convert to fraction form
    2,138.09/3,207.33 = 839.25/x
  3. Step 3: Cross multiply
    2,138.09x = 3,207.33 × 839.25
  4. Step 4: Simplify right side
    2,138.09x = 2,691,751.70
  5. Step 5: Solve for x
    x = 2,691,751.70/2,138.09
  6. Step 6: Final answer
    x = 1,258.95

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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.