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Finding the Fourth Proportional to 1,826.91, 2,736.26 and 1,414.80

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Solution

The fourth proportional to 1,826.91, 2,736.26 and 1,414.80 is: 2,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.91 : 2,736.26 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    1,826.91/2,736.26 = 1,414.80/x
  3. Step 3: Cross multiply
    1,826.91x = 2,736.26 × 1,414.80
  4. Step 4: Simplify right side
    1,826.91x = 3,871,246.97
  5. Step 5: Solve for x
    x = 3,871,246.97/1,826.91
  6. Step 6: Final answer
    x = 2,119.02

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