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Finding the Fourth Proportional to 2,576.82, 3,854.25 and 1,534.44

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Solution

The fourth proportional to 2,576.82, 3,854.25 and 1,534.44 is: 2,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.82 : 3,854.25 = 1,534.44 : x
  2. Step 2: Convert to fraction form
    2,576.82/3,854.25 = 1,534.44/x
  3. Step 3: Cross multiply
    2,576.82x = 3,854.25 × 1,534.44
  4. Step 4: Simplify right side
    2,576.82x = 5,914,115.37
  5. Step 5: Solve for x
    x = 5,914,115.37/2,576.82
  6. Step 6: Final answer
    x = 2,295.12

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