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Finding the Fourth Proportional to 2,889.27, 3,991.28 and 2,299.05

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Solution

The fourth proportional to 2,889.27, 3,991.28 and 2,299.05 is: 3,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.27 : 3,991.28 = 2,299.05 : x
  2. Step 2: Convert to fraction form
    2,889.27/3,991.28 = 2,299.05/x
  3. Step 3: Cross multiply
    2,889.27x = 3,991.28 × 2,299.05
  4. Step 4: Simplify right side
    2,889.27x = 9,176,140.79
  5. Step 5: Solve for x
    x = 9,176,140.79/2,889.27
  6. Step 6: Final answer
    x = 3,175.94

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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.