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Finding the Fourth Proportional to 2,660.97, 3,989.74 and 1,274.27

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Solution

The fourth proportional to 2,660.97, 3,989.74 and 1,274.27 is: 1,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.97 : 3,989.74 = 1,274.27 : x
  2. Step 2: Convert to fraction form
    2,660.97/3,989.74 = 1,274.27/x
  3. Step 3: Cross multiply
    2,660.97x = 3,989.74 × 1,274.27
  4. Step 4: Simplify right side
    2,660.97x = 5,084,012.78
  5. Step 5: Solve for x
    x = 5,084,012.78/2,660.97
  6. Step 6: Final answer
    x = 1,910.59

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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.