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Finding the Fourth Proportional to 2,379.82, 3,569.50 and 819.76

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Solution

The fourth proportional to 2,379.82, 3,569.50 and 819.76 is: 1,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.82 : 3,569.50 = 819.76 : x
  2. Step 2: Convert to fraction form
    2,379.82/3,569.50 = 819.76/x
  3. Step 3: Cross multiply
    2,379.82x = 3,569.50 × 819.76
  4. Step 4: Simplify right side
    2,379.82x = 2,926,133.32
  5. Step 5: Solve for x
    x = 2,926,133.32/2,379.82
  6. Step 6: Final answer
    x = 1,229.56

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