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Finding the Fourth Proportional to 3,161.56, 4,743.42 and 1,600.78

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Solution

The fourth proportional to 3,161.56, 4,743.42 and 1,600.78 is: 2,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.56 : 4,743.42 = 1,600.78 : x
  2. Step 2: Convert to fraction form
    3,161.56/4,743.42 = 1,600.78/x
  3. Step 3: Cross multiply
    3,161.56x = 4,743.42 × 1,600.78
  4. Step 4: Simplify right side
    3,161.56x = 7,593,171.87
  5. Step 5: Solve for x
    x = 7,593,171.87/3,161.56
  6. Step 6: Final answer
    x = 2,401.72

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