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Finding the Fourth Proportional to 2,740.78, 4,107.49 and 1,766.38

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Solution

The fourth proportional to 2,740.78, 4,107.49 and 1,766.38 is: 2,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.78 : 4,107.49 = 1,766.38 : x
  2. Step 2: Convert to fraction form
    2,740.78/4,107.49 = 1,766.38/x
  3. Step 3: Cross multiply
    2,740.78x = 4,107.49 × 1,766.38
  4. Step 4: Simplify right side
    2,740.78x = 7,255,388.19
  5. Step 5: Solve for x
    x = 7,255,388.19/2,740.78
  6. Step 6: Final answer
    x = 2,647.20

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