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Finding the Fourth Proportional to 1,408.80, 2,113.20 and 1,226.55

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Solution

The fourth proportional to 1,408.80, 2,113.20 and 1,226.55 is: 1,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.80 : 2,113.20 = 1,226.55 : x
  2. Step 2: Convert to fraction form
    1,408.80/2,113.20 = 1,226.55/x
  3. Step 3: Cross multiply
    1,408.80x = 2,113.20 × 1,226.55
  4. Step 4: Simplify right side
    1,408.80x = 2,591,945.46
  5. Step 5: Solve for x
    x = 2,591,945.46/1,408.80
  6. Step 6: Final answer
    x = 1,839.83

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