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Finding the Fourth Proportional to 1,934, 2,902.84 and 1,204.96

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Solution

The fourth proportional to 1,934, 2,902.84 and 1,204.96 is: 1,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934 : 2,902.84 = 1,204.96 : x
  2. Step 2: Convert to fraction form
    1,934/2,902.84 = 1,204.96/x
  3. Step 3: Cross multiply
    1,934x = 2,902.84 × 1,204.96
  4. Step 4: Simplify right side
    1,934x = 3,497,806.09
  5. Step 5: Solve for x
    x = 3,497,806.09/1,934
  6. Step 6: Final answer
    x = 1,808.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.