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Finding the Fourth Proportional to 3,449.92, 4,761 and 2,033.76

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Solution

The fourth proportional to 3,449.92, 4,761 and 2,033.76 is: 2,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.92 : 4,761 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    3,449.92/4,761 = 2,033.76/x
  3. Step 3: Cross multiply
    3,449.92x = 4,761 × 2,033.76
  4. Step 4: Simplify right side
    3,449.92x = 9,682,731.36
  5. Step 5: Solve for x
    x = 9,682,731.36/3,449.92
  6. Step 6: Final answer
    x = 2,806.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.