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Finding the Fourth Proportional to 1,982.22, 2,972.31 and 1,162.10

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Solution

The fourth proportional to 1,982.22, 2,972.31 and 1,162.10 is: 1,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.22 : 2,972.31 = 1,162.10 : x
  2. Step 2: Convert to fraction form
    1,982.22/2,972.31 = 1,162.10/x
  3. Step 3: Cross multiply
    1,982.22x = 2,972.31 × 1,162.10
  4. Step 4: Simplify right side
    1,982.22x = 3,454,106.59
  5. Step 5: Solve for x
    x = 3,454,106.59/1,982.22
  6. Step 6: Final answer
    x = 1,742.54

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