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Finding the Fourth Proportional to 2,568.09, 3,852.24 and 1,007.96

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Solution

The fourth proportional to 2,568.09, 3,852.24 and 1,007.96 is: 1,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.09 : 3,852.24 = 1,007.96 : x
  2. Step 2: Convert to fraction form
    2,568.09/3,852.24 = 1,007.96/x
  3. Step 3: Cross multiply
    2,568.09x = 3,852.24 × 1,007.96
  4. Step 4: Simplify right side
    2,568.09x = 3,882,884.57
  5. Step 5: Solve for x
    x = 3,882,884.57/2,568.09
  6. Step 6: Final answer
    x = 1,511.97

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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.