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Finding the Fourth Proportional to 2,738.40, 4,107.60 and 2,666.40

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Solution

The fourth proportional to 2,738.40, 4,107.60 and 2,666.40 is: 3,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.40 : 4,107.60 = 2,666.40 : x
  2. Step 2: Convert to fraction form
    2,738.40/4,107.60 = 2,666.40/x
  3. Step 3: Cross multiply
    2,738.40x = 4,107.60 × 2,666.40
  4. Step 4: Simplify right side
    2,738.40x = 10,952,504.64
  5. Step 5: Solve for x
    x = 10,952,504.64/2,738.40
  6. Step 6: Final answer
    x = 3,999.60

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