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Finding the Fourth Proportional to 2,243.54, 3,363.42 and 1,072.88

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Solution

The fourth proportional to 2,243.54, 3,363.42 and 1,072.88 is: 1,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.54 : 3,363.42 = 1,072.88 : x
  2. Step 2: Convert to fraction form
    2,243.54/3,363.42 = 1,072.88/x
  3. Step 3: Cross multiply
    2,243.54x = 3,363.42 × 1,072.88
  4. Step 4: Simplify right side
    2,243.54x = 3,608,546.05
  5. Step 5: Solve for x
    x = 3,608,546.05/2,243.54
  6. Step 6: Final answer
    x = 1,608.42

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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.