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Finding the Fourth Proportional to 2,786.23, 4,180.02 and 838.45

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Solution

The fourth proportional to 2,786.23, 4,180.02 and 838.45 is: 1,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.23 : 4,180.02 = 838.45 : x
  2. Step 2: Convert to fraction form
    2,786.23/4,180.02 = 838.45/x
  3. Step 3: Cross multiply
    2,786.23x = 4,180.02 × 838.45
  4. Step 4: Simplify right side
    2,786.23x = 3,504,737.77
  5. Step 5: Solve for x
    x = 3,504,737.77/2,786.23
  6. Step 6: Final answer
    x = 1,257.88

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