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Finding the Fourth Proportional to 2,698.31, 3,723.68 and 1,519.40

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Solution

The fourth proportional to 2,698.31, 3,723.68 and 1,519.40 is: 2,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.31 : 3,723.68 = 1,519.40 : x
  2. Step 2: Convert to fraction form
    2,698.31/3,723.68 = 1,519.40/x
  3. Step 3: Cross multiply
    2,698.31x = 3,723.68 × 1,519.40
  4. Step 4: Simplify right side
    2,698.31x = 5,657,772.50
  5. Step 5: Solve for x
    x = 5,657,772.50/2,698.31
  6. Step 6: Final answer
    x = 2,096.78

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