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Finding the Fourth Proportional to 2,379.96, 3,569.26 and 819.90

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Solution

The fourth proportional to 2,379.96, 3,569.26 and 819.90 is: 1,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.96 : 3,569.26 = 819.90 : x
  2. Step 2: Convert to fraction form
    2,379.96/3,569.26 = 819.90/x
  3. Step 3: Cross multiply
    2,379.96x = 3,569.26 × 819.90
  4. Step 4: Simplify right side
    2,379.96x = 2,926,432.17
  5. Step 5: Solve for x
    x = 2,926,432.17/2,379.96
  6. Step 6: Final answer
    x = 1,229.61

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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.