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Finding the Fourth Proportional to 2,834.33, 4,251.50 and 859.97

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Solution

The fourth proportional to 2,834.33, 4,251.50 and 859.97 is: 1,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.33 : 4,251.50 = 859.97 : x
  2. Step 2: Convert to fraction form
    2,834.33/4,251.50 = 859.97/x
  3. Step 3: Cross multiply
    2,834.33x = 4,251.50 × 859.97
  4. Step 4: Simplify right side
    2,834.33x = 3,656,158.16
  5. Step 5: Solve for x
    x = 3,656,158.16/2,834.33
  6. Step 6: Final answer
    x = 1,289.96

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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.