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Finding the Fourth Proportional to 2,469.78, 3,700.56 and 1,738.05

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Solution

The fourth proportional to 2,469.78, 3,700.56 and 1,738.05 is: 2,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.78 : 3,700.56 = 1,738.05 : x
  2. Step 2: Convert to fraction form
    2,469.78/3,700.56 = 1,738.05/x
  3. Step 3: Cross multiply
    2,469.78x = 3,700.56 × 1,738.05
  4. Step 4: Simplify right side
    2,469.78x = 6,431,758.31
  5. Step 5: Solve for x
    x = 6,431,758.31/2,469.78
  6. Step 6: Final answer
    x = 2,604.18

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