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Finding the Fourth Proportional to 2,299.69, 3,447.14 and 2,096.71

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Solution

The fourth proportional to 2,299.69, 3,447.14 and 2,096.71 is: 3,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.69 : 3,447.14 = 2,096.71 : x
  2. Step 2: Convert to fraction form
    2,299.69/3,447.14 = 2,096.71/x
  3. Step 3: Cross multiply
    2,299.69x = 3,447.14 × 2,096.71
  4. Step 4: Simplify right side
    2,299.69x = 7,227,664.14
  5. Step 5: Solve for x
    x = 7,227,664.14/2,299.69
  6. Step 6: Final answer
    x = 3,142.88

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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.