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Finding the Fourth Proportional to 3,147.81, 4,344.31 and 1,969.26

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Solution

The fourth proportional to 3,147.81, 4,344.31 and 1,969.26 is: 2,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.81 : 4,344.31 = 1,969.26 : x
  2. Step 2: Convert to fraction form
    3,147.81/4,344.31 = 1,969.26/x
  3. Step 3: Cross multiply
    3,147.81x = 4,344.31 × 1,969.26
  4. Step 4: Simplify right side
    3,147.81x = 8,555,054.19
  5. Step 5: Solve for x
    x = 8,555,054.19/3,147.81
  6. Step 6: Final answer
    x = 2,717.78

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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.