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Finding the Fourth Proportional to 2,550.76, 3,826.06 and 819.40

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Solution

The fourth proportional to 2,550.76, 3,826.06 and 819.40 is: 1,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.76 : 3,826.06 = 819.40 : x
  2. Step 2: Convert to fraction form
    2,550.76/3,826.06 = 819.40/x
  3. Step 3: Cross multiply
    2,550.76x = 3,826.06 × 819.40
  4. Step 4: Simplify right side
    2,550.76x = 3,135,073.56
  5. Step 5: Solve for x
    x = 3,135,073.56/2,550.76
  6. Step 6: Final answer
    x = 1,229.07

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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.