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Finding the Fourth Proportional to 2,546.46, 3,819.42 and 1,802.97

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Solution

The fourth proportional to 2,546.46, 3,819.42 and 1,802.97 is: 2,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.46 : 3,819.42 = 1,802.97 : x
  2. Step 2: Convert to fraction form
    2,546.46/3,819.42 = 1,802.97/x
  3. Step 3: Cross multiply
    2,546.46x = 3,819.42 × 1,802.97
  4. Step 4: Simplify right side
    2,546.46x = 6,886,299.68
  5. Step 5: Solve for x
    x = 6,886,299.68/2,546.46
  6. Step 6: Final answer
    x = 2,704.26

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