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Finding the Fourth Proportional to 1,789.74, 2,682.09 and 1,422.90

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Solution

The fourth proportional to 1,789.74, 2,682.09 and 1,422.90 is: 2,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.74 : 2,682.09 = 1,422.90 : x
  2. Step 2: Convert to fraction form
    1,789.74/2,682.09 = 1,422.90/x
  3. Step 3: Cross multiply
    1,789.74x = 2,682.09 × 1,422.90
  4. Step 4: Simplify right side
    1,789.74x = 3,816,345.86
  5. Step 5: Solve for x
    x = 3,816,345.86/1,789.74
  6. Step 6: Final answer
    x = 2,132.35

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