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Finding the Fourth Proportional to 2,859.43, 4,289.10 and 911.62

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Solution

The fourth proportional to 2,859.43, 4,289.10 and 911.62 is: 1,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.43 : 4,289.10 = 911.62 : x
  2. Step 2: Convert to fraction form
    2,859.43/4,289.10 = 911.62/x
  3. Step 3: Cross multiply
    2,859.43x = 4,289.10 × 911.62
  4. Step 4: Simplify right side
    2,859.43x = 3,910,029.34
  5. Step 5: Solve for x
    x = 3,910,029.34/2,859.43
  6. Step 6: Final answer
    x = 1,367.42

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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.