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Finding the Fourth Proportional to 2,299.68, 3,171.60 and 1,553.44

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Solution

The fourth proportional to 2,299.68, 3,171.60 and 1,553.44 is: 2,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,171.60 = 1,553.44 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,171.60 = 1,553.44/x
  3. Step 3: Cross multiply
    2,299.68x = 3,171.60 × 1,553.44
  4. Step 4: Simplify right side
    2,299.68x = 4,926,890.30
  5. Step 5: Solve for x
    x = 4,926,890.30/2,299.68
  6. Step 6: Final answer
    x = 2,142.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.