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Finding the Fourth Proportional to 2,575.80, 3,865.19 and 1,538.33

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Solution

The fourth proportional to 2,575.80, 3,865.19 and 1,538.33 is: 2,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.80 : 3,865.19 = 1,538.33 : x
  2. Step 2: Convert to fraction form
    2,575.80/3,865.19 = 1,538.33/x
  3. Step 3: Cross multiply
    2,575.80x = 3,865.19 × 1,538.33
  4. Step 4: Simplify right side
    2,575.80x = 5,945,910.72
  5. Step 5: Solve for x
    x = 5,945,910.72/2,575.80
  6. Step 6: Final answer
    x = 2,308.37

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