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Finding the Fourth Proportional to 1,685.97, 2,527.40 and 1,138.34

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Solution

The fourth proportional to 1,685.97, 2,527.40 and 1,138.34 is: 1,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.97 : 2,527.40 = 1,138.34 : x
  2. Step 2: Convert to fraction form
    1,685.97/2,527.40 = 1,138.34/x
  3. Step 3: Cross multiply
    1,685.97x = 2,527.40 × 1,138.34
  4. Step 4: Simplify right side
    1,685.97x = 2,877,049.68
  5. Step 5: Solve for x
    x = 2,877,049.68/1,685.97
  6. Step 6: Final answer
    x = 1,706.47

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