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Finding the Fourth Proportional to 2,767.23, 4,151.49 and 819.33

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Solution

The fourth proportional to 2,767.23, 4,151.49 and 819.33 is: 1,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.23 : 4,151.49 = 819.33 : x
  2. Step 2: Convert to fraction form
    2,767.23/4,151.49 = 819.33/x
  3. Step 3: Cross multiply
    2,767.23x = 4,151.49 × 819.33
  4. Step 4: Simplify right side
    2,767.23x = 3,401,440.30
  5. Step 5: Solve for x
    x = 3,401,440.30/2,767.23
  6. Step 6: Final answer
    x = 1,229.19

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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.