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Finding the Fourth Proportional to 2,138.85, 3,206.66 and 839.61

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Solution

The fourth proportional to 2,138.85, 3,206.66 and 839.61 is: 1,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.85 : 3,206.66 = 839.61 : x
  2. Step 2: Convert to fraction form
    2,138.85/3,206.66 = 839.61/x
  3. Step 3: Cross multiply
    2,138.85x = 3,206.66 × 839.61
  4. Step 4: Simplify right side
    2,138.85x = 2,692,339.60
  5. Step 5: Solve for x
    x = 2,692,339.60/2,138.85
  6. Step 6: Final answer
    x = 1,258.78

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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.