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Finding the Fourth Proportional to 1,538.80, 2,304.06 and 1,201.86

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Solution

The fourth proportional to 1,538.80, 2,304.06 and 1,201.86 is: 1,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.80 : 2,304.06 = 1,201.86 : x
  2. Step 2: Convert to fraction form
    1,538.80/2,304.06 = 1,201.86/x
  3. Step 3: Cross multiply
    1,538.80x = 2,304.06 × 1,201.86
  4. Step 4: Simplify right side
    1,538.80x = 2,769,157.55
  5. Step 5: Solve for x
    x = 2,769,157.55/1,538.80
  6. Step 6: Final answer
    x = 1,799.56

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