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Finding the Fourth Proportional to 2,224.57, 3,334.62 and 762.73

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Solution

The fourth proportional to 2,224.57, 3,334.62 and 762.73 is: 1,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.57 : 3,334.62 = 762.73 : x
  2. Step 2: Convert to fraction form
    2,224.57/3,334.62 = 762.73/x
  3. Step 3: Cross multiply
    2,224.57x = 3,334.62 × 762.73
  4. Step 4: Simplify right side
    2,224.57x = 2,543,414.71
  5. Step 5: Solve for x
    x = 2,543,414.71/2,224.57
  6. Step 6: Final answer
    x = 1,143.33

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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.