Home / 2,202.26-3,302.19-968.22

Finding the Fourth Proportional to 2,202.26, 3,302.19 and 968.22

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Solution

The fourth proportional to 2,202.26, 3,302.19 and 968.22 is: 1,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.26 : 3,302.19 = 968.22 : x
  2. Step 2: Convert to fraction form
    2,202.26/3,302.19 = 968.22/x
  3. Step 3: Cross multiply
    2,202.26x = 3,302.19 × 968.22
  4. Step 4: Simplify right side
    2,202.26x = 3,197,246.40
  5. Step 5: Solve for x
    x = 3,197,246.40/2,202.26
  6. Step 6: Final answer
    x = 1,451.81

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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.