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Finding the Fourth Proportional to 2,715.27, 3,743.70 and 2,288.81

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Solution

The fourth proportional to 2,715.27, 3,743.70 and 2,288.81 is: 3,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.27 : 3,743.70 = 2,288.81 : x
  2. Step 2: Convert to fraction form
    2,715.27/3,743.70 = 2,288.81/x
  3. Step 3: Cross multiply
    2,715.27x = 3,743.70 × 2,288.81
  4. Step 4: Simplify right side
    2,715.27x = 8,568,599.28
  5. Step 5: Solve for x
    x = 8,568,599.28/2,715.27
  6. Step 6: Final answer
    x = 3,155.71

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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.