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Finding the Fourth Proportional to 3,112.38, 4,294.80 and 1,933.80

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Solution

The fourth proportional to 3,112.38, 4,294.80 and 1,933.80 is: 2,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.38 : 4,294.80 = 1,933.80 : x
  2. Step 2: Convert to fraction form
    3,112.38/4,294.80 = 1,933.80/x
  3. Step 3: Cross multiply
    3,112.38x = 4,294.80 × 1,933.80
  4. Step 4: Simplify right side
    3,112.38x = 8,305,284.24
  5. Step 5: Solve for x
    x = 8,305,284.24/3,112.38
  6. Step 6: Final answer
    x = 2,668.47

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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.