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Finding the Fourth Proportional to 2,550.20, 3,824.40 and 906.80

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Solution

The fourth proportional to 2,550.20, 3,824.40 and 906.80 is: 1,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.20 : 3,824.40 = 906.80 : x
  2. Step 2: Convert to fraction form
    2,550.20/3,824.40 = 906.80/x
  3. Step 3: Cross multiply
    2,550.20x = 3,824.40 × 906.80
  4. Step 4: Simplify right side
    2,550.20x = 3,467,965.92
  5. Step 5: Solve for x
    x = 3,467,965.92/2,550.20
  6. Step 6: Final answer
    x = 1,359.88

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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.