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Finding the Fourth Proportional to 2,398.57, 3,314.70 and 1,949.56

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Solution

The fourth proportional to 2,398.57, 3,314.70 and 1,949.56 is: 2,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.57 : 3,314.70 = 1,949.56 : x
  2. Step 2: Convert to fraction form
    2,398.57/3,314.70 = 1,949.56/x
  3. Step 3: Cross multiply
    2,398.57x = 3,314.70 × 1,949.56
  4. Step 4: Simplify right side
    2,398.57x = 6,462,198.25
  5. Step 5: Solve for x
    x = 6,462,198.25/2,398.57
  6. Step 6: Final answer
    x = 2,694.19

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