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Finding the Fourth Proportional to 6,201.92, 9,302.95 and 1,819.46

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Solution

The fourth proportional to 6,201.92, 9,302.95 and 1,819.46 is: 2,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.92 : 9,302.95 = 1,819.46 : x
  2. Step 2: Convert to fraction form
    6,201.92/9,302.95 = 1,819.46/x
  3. Step 3: Cross multiply
    6,201.92x = 9,302.95 × 1,819.46
  4. Step 4: Simplify right side
    6,201.92x = 16,926,370.94
  5. Step 5: Solve for x
    x = 16,926,370.94/6,201.92
  6. Step 6: Final answer
    x = 2,729.22

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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.