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Finding the Fourth Proportional to 2,859.38, 4,289.31 and 911.62

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Solution

The fourth proportional to 2,859.38, 4,289.31 and 911.62 is: 1,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.38 : 4,289.31 = 911.62 : x
  2. Step 2: Convert to fraction form
    2,859.38/4,289.31 = 911.62/x
  3. Step 3: Cross multiply
    2,859.38x = 4,289.31 × 911.62
  4. Step 4: Simplify right side
    2,859.38x = 3,910,220.78
  5. Step 5: Solve for x
    x = 3,910,220.78/2,859.38
  6. Step 6: Final answer
    x = 1,367.51

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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.