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Finding the Fourth Proportional to 3,091.56, 4,266.24 and 1,694.28

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Solution

The fourth proportional to 3,091.56, 4,266.24 and 1,694.28 is: 2,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.56 : 4,266.24 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    3,091.56/4,266.24 = 1,694.28/x
  3. Step 3: Cross multiply
    3,091.56x = 4,266.24 × 1,694.28
  4. Step 4: Simplify right side
    3,091.56x = 7,228,205.11
  5. Step 5: Solve for x
    x = 7,228,205.11/3,091.56
  6. Step 6: Final answer
    x = 2,338.04

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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.