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Finding the Fourth Proportional to 3,394.68, 4,684.38 and 1,902.26

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Solution

The fourth proportional to 3,394.68, 4,684.38 and 1,902.26 is: 2,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.68 : 4,684.38 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    3,394.68/4,684.38 = 1,902.26/x
  3. Step 3: Cross multiply
    3,394.68x = 4,684.38 × 1,902.26
  4. Step 4: Simplify right side
    3,394.68x = 8,910,908.70
  5. Step 5: Solve for x
    x = 8,910,908.70/3,394.68
  6. Step 6: Final answer
    x = 2,624.96

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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.