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Finding the Fourth Proportional to 2,662.97, 3,991.75 and 1,274.27

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Solution

The fourth proportional to 2,662.97, 3,991.75 and 1,274.27 is: 1,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.97 : 3,991.75 = 1,274.27 : x
  2. Step 2: Convert to fraction form
    2,662.97/3,991.75 = 1,274.27/x
  3. Step 3: Cross multiply
    2,662.97x = 3,991.75 × 1,274.27
  4. Step 4: Simplify right side
    2,662.97x = 5,086,544.13
  5. Step 5: Solve for x
    x = 5,086,544.13/2,662.97
  6. Step 6: Final answer
    x = 1,910.11

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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.