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Finding the Fourth Proportional to 2,969.91, 4,099.31 and 1,791.04

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Solution

The fourth proportional to 2,969.91, 4,099.31 and 1,791.04 is: 2,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.91 : 4,099.31 = 1,791.04 : x
  2. Step 2: Convert to fraction form
    2,969.91/4,099.31 = 1,791.04/x
  3. Step 3: Cross multiply
    2,969.91x = 4,099.31 × 1,791.04
  4. Step 4: Simplify right side
    2,969.91x = 7,342,028.18
  5. Step 5: Solve for x
    x = 7,342,028.18/2,969.91
  6. Step 6: Final answer
    x = 2,472.14

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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.