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Finding the Fourth Proportional to 3,204.63, 4,800.56 and 2,105.66

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Solution

The fourth proportional to 3,204.63, 4,800.56 and 2,105.66 is: 3,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.63 : 4,800.56 = 2,105.66 : x
  2. Step 2: Convert to fraction form
    3,204.63/4,800.56 = 2,105.66/x
  3. Step 3: Cross multiply
    3,204.63x = 4,800.56 × 2,105.66
  4. Step 4: Simplify right side
    3,204.63x = 10,108,348.64
  5. Step 5: Solve for x
    x = 10,108,348.64/3,204.63
  6. Step 6: Final answer
    x = 3,154.30

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