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Finding the Fourth Proportional to 2,087.22, 3,130.90 and 788.78

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Solution

The fourth proportional to 2,087.22, 3,130.90 and 788.78 is: 1,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.22 : 3,130.90 = 788.78 : x
  2. Step 2: Convert to fraction form
    2,087.22/3,130.90 = 788.78/x
  3. Step 3: Cross multiply
    2,087.22x = 3,130.90 × 788.78
  4. Step 4: Simplify right side
    2,087.22x = 2,469,591.30
  5. Step 5: Solve for x
    x = 2,469,591.30/2,087.22
  6. Step 6: Final answer
    x = 1,183.20

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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.