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Finding the Fourth Proportional to 2,969.86, 4,098.57 and 1,791.11

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Solution

The fourth proportional to 2,969.86, 4,098.57 and 1,791.11 is: 2,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.86 : 4,098.57 = 1,791.11 : x
  2. Step 2: Convert to fraction form
    2,969.86/4,098.57 = 1,791.11/x
  3. Step 3: Cross multiply
    2,969.86x = 4,098.57 × 1,791.11
  4. Step 4: Simplify right side
    2,969.86x = 7,340,989.71
  5. Step 5: Solve for x
    x = 7,340,989.71/2,969.86
  6. Step 6: Final answer
    x = 2,471.83

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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.