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Finding the Fourth Proportional to 1,234.59, 1,849.78 and 1,078.80

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Solution

The fourth proportional to 1,234.59, 1,849.78 and 1,078.80 is: 1,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.59 : 1,849.78 = 1,078.80 : x
  2. Step 2: Convert to fraction form
    1,234.59/1,849.78 = 1,078.80/x
  3. Step 3: Cross multiply
    1,234.59x = 1,849.78 × 1,078.80
  4. Step 4: Simplify right side
    1,234.59x = 1,995,542.66
  5. Step 5: Solve for x
    x = 1,995,542.66/1,234.59
  6. Step 6: Final answer
    x = 1,616.36

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