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Finding the Fourth Proportional to 2,202.96, 3,040.17 and 1,208.27

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Solution

The fourth proportional to 2,202.96, 3,040.17 and 1,208.27 is: 1,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.96 : 3,040.17 = 1,208.27 : x
  2. Step 2: Convert to fraction form
    2,202.96/3,040.17 = 1,208.27/x
  3. Step 3: Cross multiply
    2,202.96x = 3,040.17 × 1,208.27
  4. Step 4: Simplify right side
    2,202.96x = 3,673,353.81
  5. Step 5: Solve for x
    x = 3,673,353.81/2,202.96
  6. Step 6: Final answer
    x = 1,667.46

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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.