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Finding the Fourth Proportional to 2,786.76, 3,840.48 and 1,999.44

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Solution

The fourth proportional to 2,786.76, 3,840.48 and 1,999.44 is: 2,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.76 : 3,840.48 = 1,999.44 : x
  2. Step 2: Convert to fraction form
    2,786.76/3,840.48 = 1,999.44/x
  3. Step 3: Cross multiply
    2,786.76x = 3,840.48 × 1,999.44
  4. Step 4: Simplify right side
    2,786.76x = 7,678,809.33
  5. Step 5: Solve for x
    x = 7,678,809.33/2,786.76
  6. Step 6: Final answer
    x = 2,755.46

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