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Finding the Fourth Proportional to 3,274.92, 4,912.86 and 1,889

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Solution

The fourth proportional to 3,274.92, 4,912.86 and 1,889 is: 2,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.92 : 4,912.86 = 1,889 : x
  2. Step 2: Convert to fraction form
    3,274.92/4,912.86 = 1,889/x
  3. Step 3: Cross multiply
    3,274.92x = 4,912.86 × 1,889
  4. Step 4: Simplify right side
    3,274.92x = 9,280,392.54
  5. Step 5: Solve for x
    x = 9,280,392.54/3,274.92
  6. Step 6: Final answer
    x = 2,833.78

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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.