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Finding the Fourth Proportional to 3,091.86, 4,266.72 and 1,694.61

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Solution

The fourth proportional to 3,091.86, 4,266.72 and 1,694.61 is: 2,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.86 : 4,266.72 = 1,694.61 : x
  2. Step 2: Convert to fraction form
    3,091.86/4,266.72 = 1,694.61/x
  3. Step 3: Cross multiply
    3,091.86x = 4,266.72 × 1,694.61
  4. Step 4: Simplify right side
    3,091.86x = 7,230,426.38
  5. Step 5: Solve for x
    x = 7,230,426.38/3,091.86
  6. Step 6: Final answer
    x = 2,338.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.