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Finding the Fourth Proportional to 3,078.78, 4,252.25 and 2,243.22

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Solution

The fourth proportional to 3,078.78, 4,252.25 and 2,243.22 is: 3,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.78 : 4,252.25 = 2,243.22 : x
  2. Step 2: Convert to fraction form
    3,078.78/4,252.25 = 2,243.22/x
  3. Step 3: Cross multiply
    3,078.78x = 4,252.25 × 2,243.22
  4. Step 4: Simplify right side
    3,078.78x = 9,538,737.85
  5. Step 5: Solve for x
    x = 9,538,737.85/3,078.78
  6. Step 6: Final answer
    x = 3,098.22

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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.