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Finding the Fourth Proportional to 2,822.52, 4,234.86 and 1,178.64

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Solution

The fourth proportional to 2,822.52, 4,234.86 and 1,178.64 is: 1,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.52 : 4,234.86 = 1,178.64 : x
  2. Step 2: Convert to fraction form
    2,822.52/4,234.86 = 1,178.64/x
  3. Step 3: Cross multiply
    2,822.52x = 4,234.86 × 1,178.64
  4. Step 4: Simplify right side
    2,822.52x = 4,991,375.39
  5. Step 5: Solve for x
    x = 4,991,375.39/2,822.52
  6. Step 6: Final answer
    x = 1,768.41

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