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Finding the Fourth Proportional to 1,997.68, 2,992.20 and 1,265.44

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Solution

The fourth proportional to 1,997.68, 2,992.20 and 1,265.44 is: 1,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.68 : 2,992.20 = 1,265.44 : x
  2. Step 2: Convert to fraction form
    1,997.68/2,992.20 = 1,265.44/x
  3. Step 3: Cross multiply
    1,997.68x = 2,992.20 × 1,265.44
  4. Step 4: Simplify right side
    1,997.68x = 3,786,449.57
  5. Step 5: Solve for x
    x = 3,786,449.57/1,997.68
  6. Step 6: Final answer
    x = 1,895.42

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