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Finding the Fourth Proportional to 2,205.98, 3,309.52 and 819.71

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Solution

The fourth proportional to 2,205.98, 3,309.52 and 819.71 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.98 : 3,309.52 = 819.71 : x
  2. Step 2: Convert to fraction form
    2,205.98/3,309.52 = 819.71/x
  3. Step 3: Cross multiply
    2,205.98x = 3,309.52 × 819.71
  4. Step 4: Simplify right side
    2,205.98x = 2,712,846.64
  5. Step 5: Solve for x
    x = 2,712,846.64/2,205.98
  6. Step 6: Final answer
    x = 1,229.77

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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.