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Finding the Fourth Proportional to 1,411.38, 2,117.67 and 834.25

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Solution

The fourth proportional to 1,411.38, 2,117.67 and 834.25 is: 1,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.38 : 2,117.67 = 834.25 : x
  2. Step 2: Convert to fraction form
    1,411.38/2,117.67 = 834.25/x
  3. Step 3: Cross multiply
    1,411.38x = 2,117.67 × 834.25
  4. Step 4: Simplify right side
    1,411.38x = 1,766,666.20
  5. Step 5: Solve for x
    x = 1,766,666.20/1,411.38
  6. Step 6: Final answer
    x = 1,251.73

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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.