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Finding the Fourth Proportional to 2,767.28, 4,150.84 and 819.52

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Solution

The fourth proportional to 2,767.28, 4,150.84 and 819.52 is: 1,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.28 : 4,150.84 = 819.52 : x
  2. Step 2: Convert to fraction form
    2,767.28/4,150.84 = 819.52/x
  3. Step 3: Cross multiply
    2,767.28x = 4,150.84 × 819.52
  4. Step 4: Simplify right side
    2,767.28x = 3,401,696.40
  5. Step 5: Solve for x
    x = 3,401,696.40/2,767.28
  6. Step 6: Final answer
    x = 1,229.26

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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.