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Finding the Fourth Proportional to 2,018.06, 3,022.23 and 1,982.42

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Solution

The fourth proportional to 2,018.06, 3,022.23 and 1,982.42 is: 2,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.06 : 3,022.23 = 1,982.42 : x
  2. Step 2: Convert to fraction form
    2,018.06/3,022.23 = 1,982.42/x
  3. Step 3: Cross multiply
    2,018.06x = 3,022.23 × 1,982.42
  4. Step 4: Simplify right side
    2,018.06x = 5,991,329.20
  5. Step 5: Solve for x
    x = 5,991,329.20/2,018.06
  6. Step 6: Final answer
    x = 2,968.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.