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Finding the Fourth Proportional to 1,408.78, 1,944.66 and 1,261.16

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Solution

The fourth proportional to 1,408.78, 1,944.66 and 1,261.16 is: 1,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.78 : 1,944.66 = 1,261.16 : x
  2. Step 2: Convert to fraction form
    1,408.78/1,944.66 = 1,261.16/x
  3. Step 3: Cross multiply
    1,408.78x = 1,944.66 × 1,261.16
  4. Step 4: Simplify right side
    1,408.78x = 2,452,517.68
  5. Step 5: Solve for x
    x = 2,452,517.68/1,408.78
  6. Step 6: Final answer
    x = 1,740.89

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