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Finding the Fourth Proportional to 2,147.82, 3,213.42 and 1,602.42

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Solution

The fourth proportional to 2,147.82, 3,213.42 and 1,602.42 is: 2,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.82 : 3,213.42 = 1,602.42 : x
  2. Step 2: Convert to fraction form
    2,147.82/3,213.42 = 1,602.42/x
  3. Step 3: Cross multiply
    2,147.82x = 3,213.42 × 1,602.42
  4. Step 4: Simplify right side
    2,147.82x = 5,149,248.48
  5. Step 5: Solve for x
    x = 5,149,248.48/2,147.82
  6. Step 6: Final answer
    x = 2,397.43

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