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Finding the Fourth Proportional to 3,227.60, 4,830.60 and 2,255.60

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Solution

The fourth proportional to 3,227.60, 4,830.60 and 2,255.60 is: 3,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.60 : 4,830.60 = 2,255.60 : x
  2. Step 2: Convert to fraction form
    3,227.60/4,830.60 = 2,255.60/x
  3. Step 3: Cross multiply
    3,227.60x = 4,830.60 × 2,255.60
  4. Step 4: Simplify right side
    3,227.60x = 10,895,901.36
  5. Step 5: Solve for x
    x = 10,895,901.36/3,227.60
  6. Step 6: Final answer
    x = 3,375.85

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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.