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Finding the Fourth Proportional to 2,906.62, 4,363.00 and 1,811.73

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Solution

The fourth proportional to 2,906.62, 4,363.00 and 1,811.73 is: 2,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.62 : 4,363.00 = 1,811.73 : x
  2. Step 2: Convert to fraction form
    2,906.62/4,363.00 = 1,811.73/x
  3. Step 3: Cross multiply
    2,906.62x = 4,363.00 × 1,811.73
  4. Step 4: Simplify right side
    2,906.62x = 7,904,589.82
  5. Step 5: Solve for x
    x = 7,904,589.82/2,906.62
  6. Step 6: Final answer
    x = 2,719.51

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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.