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Finding the Fourth Proportional to 3,076.80, 4,614.24 and 1,227.60

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Solution

The fourth proportional to 3,076.80, 4,614.24 and 1,227.60 is: 1,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.80 : 4,614.24 = 1,227.60 : x
  2. Step 2: Convert to fraction form
    3,076.80/4,614.24 = 1,227.60/x
  3. Step 3: Cross multiply
    3,076.80x = 4,614.24 × 1,227.60
  4. Step 4: Simplify right side
    3,076.80x = 5,664,441.02
  5. Step 5: Solve for x
    x = 5,664,441.02/3,076.80
  6. Step 6: Final answer
    x = 1,841.02

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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.