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Finding the Fourth Proportional to 1,229.22, 1,683.41 and 1,213.02

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Solution

The fourth proportional to 1,229.22, 1,683.41 and 1,213.02 is: 1,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.22 : 1,683.41 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    1,229.22/1,683.41 = 1,213.02/x
  3. Step 3: Cross multiply
    1,229.22x = 1,683.41 × 1,213.02
  4. Step 4: Simplify right side
    1,229.22x = 2,042,003.93
  5. Step 5: Solve for x
    x = 2,042,003.93/1,229.22
  6. Step 6: Final answer
    x = 1,661.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.