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Finding the Fourth Proportional to 2,654.82, 3,962.80 and 2,462.06

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Solution

The fourth proportional to 2,654.82, 3,962.80 and 2,462.06 is: 3,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.82 : 3,962.80 = 2,462.06 : x
  2. Step 2: Convert to fraction form
    2,654.82/3,962.80 = 2,462.06/x
  3. Step 3: Cross multiply
    2,654.82x = 3,962.80 × 2,462.06
  4. Step 4: Simplify right side
    2,654.82x = 9,756,651.37
  5. Step 5: Solve for x
    x = 9,756,651.37/2,654.82
  6. Step 6: Final answer
    x = 3,675.07

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