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Finding the Fourth Proportional to 2,602.92, 3,906.30 and 2,096.04

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Solution

The fourth proportional to 2,602.92, 3,906.30 and 2,096.04 is: 3,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.92 : 3,906.30 = 2,096.04 : x
  2. Step 2: Convert to fraction form
    2,602.92/3,906.30 = 2,096.04/x
  3. Step 3: Cross multiply
    2,602.92x = 3,906.30 × 2,096.04
  4. Step 4: Simplify right side
    2,602.92x = 8,187,761.05
  5. Step 5: Solve for x
    x = 8,187,761.05/2,602.92
  6. Step 6: Final answer
    x = 3,145.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.