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Finding the Fourth Proportional to 2,022.20, 3,032.70 and 788.90

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Solution

The fourth proportional to 2,022.20, 3,032.70 and 788.90 is: 1,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.20 : 3,032.70 = 788.90 : x
  2. Step 2: Convert to fraction form
    2,022.20/3,032.70 = 788.90/x
  3. Step 3: Cross multiply
    2,022.20x = 3,032.70 × 788.90
  4. Step 4: Simplify right side
    2,022.20x = 2,392,497.03
  5. Step 5: Solve for x
    x = 2,392,497.03/2,022.20
  6. Step 6: Final answer
    x = 1,183.12

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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.