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Finding the Fourth Proportional to 2,551.44, 3,826.80 and 819.84

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Solution

The fourth proportional to 2,551.44, 3,826.80 and 819.84 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.44 : 3,826.80 = 819.84 : x
  2. Step 2: Convert to fraction form
    2,551.44/3,826.80 = 819.84/x
  3. Step 3: Cross multiply
    2,551.44x = 3,826.80 × 819.84
  4. Step 4: Simplify right side
    2,551.44x = 3,137,363.71
  5. Step 5: Solve for x
    x = 3,137,363.71/2,551.44
  6. Step 6: Final answer
    x = 1,229.64

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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.