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Finding the Fourth Proportional to 2,537.82, 3,805.56 and 1,988.82

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Solution

The fourth proportional to 2,537.82, 3,805.56 and 1,988.82 is: 2,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.82 : 3,805.56 = 1,988.82 : x
  2. Step 2: Convert to fraction form
    2,537.82/3,805.56 = 1,988.82/x
  3. Step 3: Cross multiply
    2,537.82x = 3,805.56 × 1,988.82
  4. Step 4: Simplify right side
    2,537.82x = 7,568,573.84
  5. Step 5: Solve for x
    x = 7,568,573.84/2,537.82
  6. Step 6: Final answer
    x = 2,982.31

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