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Finding the Fourth Proportional to 1,280.41, 1,921.16 and 1,178.25

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Solution

The fourth proportional to 1,280.41, 1,921.16 and 1,178.25 is: 1,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.41 : 1,921.16 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    1,280.41/1,921.16 = 1,178.25/x
  3. Step 3: Cross multiply
    1,280.41x = 1,921.16 × 1,178.25
  4. Step 4: Simplify right side
    1,280.41x = 2,263,600.88
  5. Step 5: Solve for x
    x = 2,263,600.88/1,280.41
  6. Step 6: Final answer
    x = 1,767.87

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