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Finding the Fourth Proportional to 1,685.73, 2,524.28 and 1,538.85

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Solution

The fourth proportional to 1,685.73, 2,524.28 and 1,538.85 is: 2,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.73 : 2,524.28 = 1,538.85 : x
  2. Step 2: Convert to fraction form
    1,685.73/2,524.28 = 1,538.85/x
  3. Step 3: Cross multiply
    1,685.73x = 2,524.28 × 1,538.85
  4. Step 4: Simplify right side
    1,685.73x = 3,884,480.58
  5. Step 5: Solve for x
    x = 3,884,480.58/1,685.73
  6. Step 6: Final answer
    x = 2,304.33

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