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Finding the Fourth Proportional to 3,076.08, 4,614.17 and 1,844.47

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Solution

The fourth proportional to 3,076.08, 4,614.17 and 1,844.47 is: 2,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.08 : 4,614.17 = 1,844.47 : x
  2. Step 2: Convert to fraction form
    3,076.08/4,614.17 = 1,844.47/x
  3. Step 3: Cross multiply
    3,076.08x = 4,614.17 × 1,844.47
  4. Step 4: Simplify right side
    3,076.08x = 8,510,694.69
  5. Step 5: Solve for x
    x = 8,510,694.69/3,076.08
  6. Step 6: Final answer
    x = 2,766.74

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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.