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Finding the Fourth Proportional to 2,813.88, 3,882.42 and 2,255.52

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Solution

The fourth proportional to 2,813.88, 3,882.42 and 2,255.52 is: 3,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.88 : 3,882.42 = 2,255.52 : x
  2. Step 2: Convert to fraction form
    2,813.88/3,882.42 = 2,255.52/x
  3. Step 3: Cross multiply
    2,813.88x = 3,882.42 × 2,255.52
  4. Step 4: Simplify right side
    2,813.88x = 8,756,875.96
  5. Step 5: Solve for x
    x = 8,756,875.96/2,813.88
  6. Step 6: Final answer
    x = 3,112.03

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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.