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Finding the Fourth Proportional to 2,768.46, 3,821.84 and 1,824.85

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Solution

The fourth proportional to 2,768.46, 3,821.84 and 1,824.85 is: 2,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.46 : 3,821.84 = 1,824.85 : x
  2. Step 2: Convert to fraction form
    2,768.46/3,821.84 = 1,824.85/x
  3. Step 3: Cross multiply
    2,768.46x = 3,821.84 × 1,824.85
  4. Step 4: Simplify right side
    2,768.46x = 6,974,284.72
  5. Step 5: Solve for x
    x = 6,974,284.72/2,768.46
  6. Step 6: Final answer
    x = 2,519.19

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