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Finding the Fourth Proportional to 2,278.43, 3,414.00 and 2,059.73

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Solution

The fourth proportional to 2,278.43, 3,414.00 and 2,059.73 is: 3,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.43 : 3,414.00 = 2,059.73 : x
  2. Step 2: Convert to fraction form
    2,278.43/3,414.00 = 2,059.73/x
  3. Step 3: Cross multiply
    2,278.43x = 3,414.00 × 2,059.73
  4. Step 4: Simplify right side
    2,278.43x = 7,031,910.09
  5. Step 5: Solve for x
    x = 7,031,910.09/2,278.43
  6. Step 6: Final answer
    x = 3,086.30

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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.