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Finding the Fourth Proportional to 2,767.92, 4,148.81 and 1,382.42

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Solution

The fourth proportional to 2,767.92, 4,148.81 and 1,382.42 is: 2,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 4,148.81 = 1,382.42 : x
  2. Step 2: Convert to fraction form
    2,767.92/4,148.81 = 1,382.42/x
  3. Step 3: Cross multiply
    2,767.92x = 4,148.81 × 1,382.42
  4. Step 4: Simplify right side
    2,767.92x = 5,735,407.54
  5. Step 5: Solve for x
    x = 5,735,407.54/2,767.92
  6. Step 6: Final answer
    x = 2,072.10

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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.