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Finding the Fourth Proportional to 3,431.70, 5,147.49 and 1,969.81

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Solution

The fourth proportional to 3,431.70, 5,147.49 and 1,969.81 is: 2,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.70 : 5,147.49 = 1,969.81 : x
  2. Step 2: Convert to fraction form
    3,431.70/5,147.49 = 1,969.81/x
  3. Step 3: Cross multiply
    3,431.70x = 5,147.49 × 1,969.81
  4. Step 4: Simplify right side
    3,431.70x = 10,139,577.28
  5. Step 5: Solve for x
    x = 10,139,577.28/3,431.70
  6. Step 6: Final answer
    x = 2,954.68

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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.