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Finding the Fourth Proportional to 2,568.92, 3,826.87 and 2,409.56

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Solution

The fourth proportional to 2,568.92, 3,826.87 and 2,409.56 is: 3,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.92 : 3,826.87 = 2,409.56 : x
  2. Step 2: Convert to fraction form
    2,568.92/3,826.87 = 2,409.56/x
  3. Step 3: Cross multiply
    2,568.92x = 3,826.87 × 2,409.56
  4. Step 4: Simplify right side
    2,568.92x = 9,221,072.88
  5. Step 5: Solve for x
    x = 9,221,072.88/2,568.92
  6. Step 6: Final answer
    x = 3,589.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.