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Finding the Fourth Proportional to 1,463.27, 2,016.97 and 938.39

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Solution

The fourth proportional to 1,463.27, 2,016.97 and 938.39 is: 1,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.27 : 2,016.97 = 938.39 : x
  2. Step 2: Convert to fraction form
    1,463.27/2,016.97 = 938.39/x
  3. Step 3: Cross multiply
    1,463.27x = 2,016.97 × 938.39
  4. Step 4: Simplify right side
    1,463.27x = 1,892,692.05
  5. Step 5: Solve for x
    x = 1,892,692.05/1,463.27
  6. Step 6: Final answer
    x = 1,293.47

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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.