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Finding the Fourth Proportional to 2,003.82, 3,006.81 and 1,031.82

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Solution

The fourth proportional to 2,003.82, 3,006.81 and 1,031.82 is: 1,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.82 : 3,006.81 = 1,031.82 : x
  2. Step 2: Convert to fraction form
    2,003.82/3,006.81 = 1,031.82/x
  3. Step 3: Cross multiply
    2,003.82x = 3,006.81 × 1,031.82
  4. Step 4: Simplify right side
    2,003.82x = 3,102,486.69
  5. Step 5: Solve for x
    x = 3,102,486.69/2,003.82
  6. Step 6: Final answer
    x = 1,548.29

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