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Finding the Fourth Proportional to 2,550.80, 3,805.78 and 2,273.60

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Solution

The fourth proportional to 2,550.80, 3,805.78 and 2,273.60 is: 3,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.80 : 3,805.78 = 2,273.60 : x
  2. Step 2: Convert to fraction form
    2,550.80/3,805.78 = 2,273.60/x
  3. Step 3: Cross multiply
    2,550.80x = 3,805.78 × 2,273.60
  4. Step 4: Simplify right side
    2,550.80x = 8,652,821.41
  5. Step 5: Solve for x
    x = 8,652,821.41/2,550.80
  6. Step 6: Final answer
    x = 3,392.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.