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Finding the Fourth Proportional to 2,969.33, 4,452.71 and 1,121.92

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Solution

The fourth proportional to 2,969.33, 4,452.71 and 1,121.92 is: 1,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.33 : 4,452.71 = 1,121.92 : x
  2. Step 2: Convert to fraction form
    2,969.33/4,452.71 = 1,121.92/x
  3. Step 3: Cross multiply
    2,969.33x = 4,452.71 × 1,121.92
  4. Step 4: Simplify right side
    2,969.33x = 4,995,567.66
  5. Step 5: Solve for x
    x = 4,995,567.66/2,969.33
  6. Step 6: Final answer
    x = 1,682.39

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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.