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Finding the Fourth Proportional to 2,768.04, 3,819.82 and 1,509.13

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Solution

The fourth proportional to 2,768.04, 3,819.82 and 1,509.13 is: 2,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.04 : 3,819.82 = 1,509.13 : x
  2. Step 2: Convert to fraction form
    2,768.04/3,819.82 = 1,509.13/x
  3. Step 3: Cross multiply
    2,768.04x = 3,819.82 × 1,509.13
  4. Step 4: Simplify right side
    2,768.04x = 5,764,604.96
  5. Step 5: Solve for x
    x = 5,764,604.96/2,768.04
  6. Step 6: Final answer
    x = 2,082.56

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