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Finding the Fourth Proportional to 1,233.59, 1,848.29 and 1,077.80

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Solution

The fourth proportional to 1,233.59, 1,848.29 and 1,077.80 is: 1,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.59 : 1,848.29 = 1,077.80 : x
  2. Step 2: Convert to fraction form
    1,233.59/1,848.29 = 1,077.80/x
  3. Step 3: Cross multiply
    1,233.59x = 1,848.29 × 1,077.80
  4. Step 4: Simplify right side
    1,233.59x = 1,992,072.33
  5. Step 5: Solve for x
    x = 1,992,072.33/1,233.59
  6. Step 6: Final answer
    x = 1,614.86

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