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Finding the Fourth Proportional to 2,022.06, 3,033.10 and 789.83

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Solution

The fourth proportional to 2,022.06, 3,033.10 and 789.83 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.06 : 3,033.10 = 789.83 : x
  2. Step 2: Convert to fraction form
    2,022.06/3,033.10 = 789.83/x
  3. Step 3: Cross multiply
    2,022.06x = 3,033.10 × 789.83
  4. Step 4: Simplify right side
    2,022.06x = 2,395,617.60
  5. Step 5: Solve for x
    x = 2,395,617.60/2,022.06
  6. Step 6: Final answer
    x = 1,184.74

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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.