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Finding the Fourth Proportional to 2,774.75, 3,829.82 and 2,144.31

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Solution

The fourth proportional to 2,774.75, 3,829.82 and 2,144.31 is: 2,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.75 : 3,829.82 = 2,144.31 : x
  2. Step 2: Convert to fraction form
    2,774.75/3,829.82 = 2,144.31/x
  3. Step 3: Cross multiply
    2,774.75x = 3,829.82 × 2,144.31
  4. Step 4: Simplify right side
    2,774.75x = 8,212,310.60
  5. Step 5: Solve for x
    x = 8,212,310.60/2,774.75
  6. Step 6: Final answer
    x = 2,959.66

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