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Finding the Fourth Proportional to 2,768.31, 4,151.88 and 820.05

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Solution

The fourth proportional to 2,768.31, 4,151.88 and 820.05 is: 1,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.31 : 4,151.88 = 820.05 : x
  2. Step 2: Convert to fraction form
    2,768.31/4,151.88 = 820.05/x
  3. Step 3: Cross multiply
    2,768.31x = 4,151.88 × 820.05
  4. Step 4: Simplify right side
    2,768.31x = 3,404,749.19
  5. Step 5: Solve for x
    x = 3,404,749.19/2,768.31
  6. Step 6: Final answer
    x = 1,229.90

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