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Finding the Fourth Proportional to 2,684.32, 4,025.25 and 834.89

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Solution

The fourth proportional to 2,684.32, 4,025.25 and 834.89 is: 1,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.32 : 4,025.25 = 834.89 : x
  2. Step 2: Convert to fraction form
    2,684.32/4,025.25 = 834.89/x
  3. Step 3: Cross multiply
    2,684.32x = 4,025.25 × 834.89
  4. Step 4: Simplify right side
    2,684.32x = 3,360,640.97
  5. Step 5: Solve for x
    x = 3,360,640.97/2,684.32
  6. Step 6: Final answer
    x = 1,251.95

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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.