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Finding the Fourth Proportional to 2,969.70, 4,098.94 and 1,791.56

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Solution

The fourth proportional to 2,969.70, 4,098.94 and 1,791.56 is: 2,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.70 : 4,098.94 = 1,791.56 : x
  2. Step 2: Convert to fraction form
    2,969.70/4,098.94 = 1,791.56/x
  3. Step 3: Cross multiply
    2,969.70x = 4,098.94 × 1,791.56
  4. Step 4: Simplify right side
    2,969.70x = 7,343,496.95
  5. Step 5: Solve for x
    x = 7,343,496.95/2,969.70
  6. Step 6: Final answer
    x = 2,472.81

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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.