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Finding the Fourth Proportional to 2,091.85, 3,138.69 and 793.02

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Solution

The fourth proportional to 2,091.85, 3,138.69 and 793.02 is: 1,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.85 : 3,138.69 = 793.02 : x
  2. Step 2: Convert to fraction form
    2,091.85/3,138.69 = 793.02/x
  3. Step 3: Cross multiply
    2,091.85x = 3,138.69 × 793.02
  4. Step 4: Simplify right side
    2,091.85x = 2,489,043.94
  5. Step 5: Solve for x
    x = 2,489,043.94/2,091.85
  6. Step 6: Final answer
    x = 1,189.88

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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.