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Finding the Fourth Proportional to 2,640.02, 3,960.62 and 1,406.78

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Solution

The fourth proportional to 2,640.02, 3,960.62 and 1,406.78 is: 2,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.02 : 3,960.62 = 1,406.78 : x
  2. Step 2: Convert to fraction form
    2,640.02/3,960.62 = 1,406.78/x
  3. Step 3: Cross multiply
    2,640.02x = 3,960.62 × 1,406.78
  4. Step 4: Simplify right side
    2,640.02x = 5,571,704.72
  5. Step 5: Solve for x
    x = 5,571,704.72/2,640.02
  6. Step 6: Final answer
    x = 2,110.48

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