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Finding the Fourth Proportional to 1,983.27, 2,972.78 and 1,009.45

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Solution

The fourth proportional to 1,983.27, 2,972.78 and 1,009.45 is: 1,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.27 : 2,972.78 = 1,009.45 : x
  2. Step 2: Convert to fraction form
    1,983.27/2,972.78 = 1,009.45/x
  3. Step 3: Cross multiply
    1,983.27x = 2,972.78 × 1,009.45
  4. Step 4: Simplify right side
    1,983.27x = 3,000,872.77
  5. Step 5: Solve for x
    x = 3,000,872.77/1,983.27
  6. Step 6: Final answer
    x = 1,513.09

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