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Finding the Fourth Proportional to 2,202.96, 3,040.02 and 1,318.44

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Solution

The fourth proportional to 2,202.96, 3,040.02 and 1,318.44 is: 1,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.96 : 3,040.02 = 1,318.44 : x
  2. Step 2: Convert to fraction form
    2,202.96/3,040.02 = 1,318.44/x
  3. Step 3: Cross multiply
    2,202.96x = 3,040.02 × 1,318.44
  4. Step 4: Simplify right side
    2,202.96x = 4,008,083.97
  5. Step 5: Solve for x
    x = 4,008,083.97/2,202.96
  6. Step 6: Final answer
    x = 1,819.41

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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.