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Finding the Fourth Proportional to 3,193.25, 4,791.56 and 1,220.22

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Solution

The fourth proportional to 3,193.25, 4,791.56 and 1,220.22 is: 1,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.25 : 4,791.56 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    3,193.25/4,791.56 = 1,220.22/x
  3. Step 3: Cross multiply
    3,193.25x = 4,791.56 × 1,220.22
  4. Step 4: Simplify right side
    3,193.25x = 5,846,751.24
  5. Step 5: Solve for x
    x = 5,846,751.24/3,193.25
  6. Step 6: Final answer
    x = 1,830.97

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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.