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Finding the Fourth Proportional to 3,091.82, 4,266.69 and 1,694.54

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Solution

The fourth proportional to 3,091.82, 4,266.69 and 1,694.54 is: 2,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.82 : 4,266.69 = 1,694.54 : x
  2. Step 2: Convert to fraction form
    3,091.82/4,266.69 = 1,694.54/x
  3. Step 3: Cross multiply
    3,091.82x = 4,266.69 × 1,694.54
  4. Step 4: Simplify right side
    3,091.82x = 7,230,076.87
  5. Step 5: Solve for x
    x = 7,230,076.87/3,091.82
  6. Step 6: Final answer
    x = 2,338.45

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