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Finding the Fourth Proportional to 2,813.28, 3,882.56 and 1,634.28

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Solution

The fourth proportional to 2,813.28, 3,882.56 and 1,634.28 is: 2,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.28 : 3,882.56 = 1,634.28 : x
  2. Step 2: Convert to fraction form
    2,813.28/3,882.56 = 1,634.28/x
  3. Step 3: Cross multiply
    2,813.28x = 3,882.56 × 1,634.28
  4. Step 4: Simplify right side
    2,813.28x = 6,345,190.16
  5. Step 5: Solve for x
    x = 6,345,190.16/2,813.28
  6. Step 6: Final answer
    x = 2,255.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.