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Finding the Fourth Proportional to 3,091.84, 4,266.60 and 1,694.56

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Solution

The fourth proportional to 3,091.84, 4,266.60 and 1,694.56 is: 2,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.84 : 4,266.60 = 1,694.56 : x
  2. Step 2: Convert to fraction form
    3,091.84/4,266.60 = 1,694.56/x
  3. Step 3: Cross multiply
    3,091.84x = 4,266.60 × 1,694.56
  4. Step 4: Simplify right side
    3,091.84x = 7,230,009.70
  5. Step 5: Solve for x
    x = 7,230,009.70/3,091.84
  6. Step 6: Final answer
    x = 2,338.42

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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.