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Finding the Fourth Proportional to 3,257.92, 4,889.22 and 1,796.68

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Solution

The fourth proportional to 3,257.92, 4,889.22 and 1,796.68 is: 2,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,889.22 = 1,796.68 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,889.22 = 1,796.68/x
  3. Step 3: Cross multiply
    3,257.92x = 4,889.22 × 1,796.68
  4. Step 4: Simplify right side
    3,257.92x = 8,784,363.79
  5. Step 5: Solve for x
    x = 8,784,363.79/3,257.92
  6. Step 6: Final answer
    x = 2,696.31

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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.