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Finding the Fourth Proportional to 1,982.64, 2,732.87 and 1,562.30

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Solution

The fourth proportional to 1,982.64, 2,732.87 and 1,562.30 is: 2,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.64 : 2,732.87 = 1,562.30 : x
  2. Step 2: Convert to fraction form
    1,982.64/2,732.87 = 1,562.30/x
  3. Step 3: Cross multiply
    1,982.64x = 2,732.87 × 1,562.30
  4. Step 4: Simplify right side
    1,982.64x = 4,269,563.29
  5. Step 5: Solve for x
    x = 4,269,563.29/1,982.64
  6. Step 6: Final answer
    x = 2,153.47

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