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Finding the Fourth Proportional to 2,299.94, 3,447.52 and 2,096.96

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Solution

The fourth proportional to 2,299.94, 3,447.52 and 2,096.96 is: 3,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.94 : 3,447.52 = 2,096.96 : x
  2. Step 2: Convert to fraction form
    2,299.94/3,447.52 = 2,096.96/x
  3. Step 3: Cross multiply
    2,299.94x = 3,447.52 × 2,096.96
  4. Step 4: Simplify right side
    2,299.94x = 7,229,311.54
  5. Step 5: Solve for x
    x = 7,229,311.54/2,299.94
  6. Step 6: Final answer
    x = 3,143.26

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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.