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Finding the Fourth Proportional to 3,414.49, 5,122 and 1,192.94

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Solution

The fourth proportional to 3,414.49, 5,122 and 1,192.94 is: 1,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.49 : 5,122 = 1,192.94 : x
  2. Step 2: Convert to fraction form
    3,414.49/5,122 = 1,192.94/x
  3. Step 3: Cross multiply
    3,414.49x = 5,122 × 1,192.94
  4. Step 4: Simplify right side
    3,414.49x = 6,110,238.68
  5. Step 5: Solve for x
    x = 6,110,238.68/3,414.49
  6. Step 6: Final answer
    x = 1,789.50

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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.