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Finding the Fourth Proportional to 2,761.92, 4,143.24 and 1,006.92

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Solution

The fourth proportional to 2,761.92, 4,143.24 and 1,006.92 is: 1,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.92 : 4,143.24 = 1,006.92 : x
  2. Step 2: Convert to fraction form
    2,761.92/4,143.24 = 1,006.92/x
  3. Step 3: Cross multiply
    2,761.92x = 4,143.24 × 1,006.92
  4. Step 4: Simplify right side
    2,761.92x = 4,171,911.22
  5. Step 5: Solve for x
    x = 4,171,911.22/2,761.92
  6. Step 6: Final answer
    x = 1,510.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.