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Finding the Fourth Proportional to 2,150.87, 3,225.76 and 834.17

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Solution

The fourth proportional to 2,150.87, 3,225.76 and 834.17 is: 1,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.87 : 3,225.76 = 834.17 : x
  2. Step 2: Convert to fraction form
    2,150.87/3,225.76 = 834.17/x
  3. Step 3: Cross multiply
    2,150.87x = 3,225.76 × 834.17
  4. Step 4: Simplify right side
    2,150.87x = 2,690,832.22
  5. Step 5: Solve for x
    x = 2,690,832.22/2,150.87
  6. Step 6: Final answer
    x = 1,251.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.