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Finding the Fourth Proportional to 2,550.96, 3,826.80 and 819.54

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Solution

The fourth proportional to 2,550.96, 3,826.80 and 819.54 is: 1,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.96 : 3,826.80 = 819.54 : x
  2. Step 2: Convert to fraction form
    2,550.96/3,826.80 = 819.54/x
  3. Step 3: Cross multiply
    2,550.96x = 3,826.80 × 819.54
  4. Step 4: Simplify right side
    2,550.96x = 3,136,215.67
  5. Step 5: Solve for x
    x = 3,136,215.67/2,550.96
  6. Step 6: Final answer
    x = 1,229.43

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1.5x scale

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.