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Finding the Fourth Proportional to 3,224.70, 4,833.81 and 1,760.82

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Solution

The fourth proportional to 3,224.70, 4,833.81 and 1,760.82 is: 2,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.70 : 4,833.81 = 1,760.82 : x
  2. Step 2: Convert to fraction form
    3,224.70/4,833.81 = 1,760.82/x
  3. Step 3: Cross multiply
    3,224.70x = 4,833.81 × 1,760.82
  4. Step 4: Simplify right side
    3,224.70x = 8,511,469.32
  5. Step 5: Solve for x
    x = 8,511,469.32/3,224.70
  6. Step 6: Final answer
    x = 2,639.46

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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.