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Finding the Fourth Proportional to 3,091.44, 4,266.48 and 1,694.40

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Solution

The fourth proportional to 3,091.44, 4,266.48 and 1,694.40 is: 2,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.44 : 4,266.48 = 1,694.40 : x
  2. Step 2: Convert to fraction form
    3,091.44/4,266.48 = 1,694.40/x
  3. Step 3: Cross multiply
    3,091.44x = 4,266.48 × 1,694.40
  4. Step 4: Simplify right side
    3,091.44x = 7,229,123.71
  5. Step 5: Solve for x
    x = 7,229,123.71/3,091.44
  6. Step 6: Final answer
    x = 2,338.43

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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.