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Finding the Fourth Proportional to 1,336.91, 1,843.49 and 938.49

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Solution

The fourth proportional to 1,336.91, 1,843.49 and 938.49 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.91 : 1,843.49 = 938.49 : x
  2. Step 2: Convert to fraction form
    1,336.91/1,843.49 = 938.49/x
  3. Step 3: Cross multiply
    1,336.91x = 1,843.49 × 938.49
  4. Step 4: Simplify right side
    1,336.91x = 1,730,092.36
  5. Step 5: Solve for x
    x = 1,730,092.36/1,336.91
  6. Step 6: Final answer
    x = 1,294.10

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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.