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Finding the Fourth Proportional to 1,687.82, 2,527.40 and 1,167.10

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Solution

The fourth proportional to 1,687.82, 2,527.40 and 1,167.10 is: 1,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.82 : 2,527.40 = 1,167.10 : x
  2. Step 2: Convert to fraction form
    1,687.82/2,527.40 = 1,167.10/x
  3. Step 3: Cross multiply
    1,687.82x = 2,527.40 × 1,167.10
  4. Step 4: Simplify right side
    1,687.82x = 2,949,723.31
  5. Step 5: Solve for x
    x = 2,949,723.31/1,687.82
  6. Step 6: Final answer
    x = 1,747.66

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