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Finding the Fourth Proportional to 2,091.56, 3,135.48 and 793.94

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Solution

The fourth proportional to 2,091.56, 3,135.48 and 793.94 is: 1,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.56 : 3,135.48 = 793.94 : x
  2. Step 2: Convert to fraction form
    2,091.56/3,135.48 = 793.94/x
  3. Step 3: Cross multiply
    2,091.56x = 3,135.48 × 793.94
  4. Step 4: Simplify right side
    2,091.56x = 2,489,383.46
  5. Step 5: Solve for x
    x = 2,489,383.46/2,091.56
  6. Step 6: Final answer
    x = 1,190.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.