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Finding the Fourth Proportional to 2,022.36, 3,031.34 and 789.40

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Solution

The fourth proportional to 2,022.36, 3,031.34 and 789.40 is: 1,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.36 : 3,031.34 = 789.40 : x
  2. Step 2: Convert to fraction form
    2,022.36/3,031.34 = 789.40/x
  3. Step 3: Cross multiply
    2,022.36x = 3,031.34 × 789.40
  4. Step 4: Simplify right side
    2,022.36x = 2,392,939.80
  5. Step 5: Solve for x
    x = 2,392,939.80/2,022.36
  6. Step 6: Final answer
    x = 1,183.24

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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.