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Finding the Fourth Proportional to 2,236.92, 3,339.02 and 2,072

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Solution

The fourth proportional to 2,236.92, 3,339.02 and 2,072 is: 3,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.92 : 3,339.02 = 2,072 : x
  2. Step 2: Convert to fraction form
    2,236.92/3,339.02 = 2,072/x
  3. Step 3: Cross multiply
    2,236.92x = 3,339.02 × 2,072
  4. Step 4: Simplify right side
    2,236.92x = 6,918,449.44
  5. Step 5: Solve for x
    x = 6,918,449.44/2,236.92
  6. Step 6: Final answer
    x = 3,092.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.