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Finding the Fourth Proportional to 3,402.56, 4,694.96 and 1,910.44

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Solution

The fourth proportional to 3,402.56, 4,694.96 and 1,910.44 is: 2,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.56 : 4,694.96 = 1,910.44 : x
  2. Step 2: Convert to fraction form
    3,402.56/4,694.96 = 1,910.44/x
  3. Step 3: Cross multiply
    3,402.56x = 4,694.96 × 1,910.44
  4. Step 4: Simplify right side
    3,402.56x = 8,969,439.38
  5. Step 5: Solve for x
    x = 8,969,439.38/3,402.56
  6. Step 6: Final answer
    x = 2,636.09

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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.