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Finding the Fourth Proportional to 2,276.44, 3,414.78 and 1,932.18

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Solution

The fourth proportional to 2,276.44, 3,414.78 and 1,932.18 is: 2,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,414.78 = 1,932.18 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,414.78 = 1,932.18/x
  3. Step 3: Cross multiply
    2,276.44x = 3,414.78 × 1,932.18
  4. Step 4: Simplify right side
    2,276.44x = 6,597,969.62
  5. Step 5: Solve for x
    x = 6,597,969.62/2,276.44
  6. Step 6: Final answer
    x = 2,898.37

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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.