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Finding the Fourth Proportional to 2,224.33, 3,336.95 and 664.27

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Solution

The fourth proportional to 2,224.33, 3,336.95 and 664.27 is: 996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.33 : 3,336.95 = 664.27 : x
  2. Step 2: Convert to fraction form
    2,224.33/3,336.95 = 664.27/x
  3. Step 3: Cross multiply
    2,224.33x = 3,336.95 × 664.27
  4. Step 4: Simplify right side
    2,224.33x = 2,216,625.36
  5. Step 5: Solve for x
    x = 2,216,625.36/2,224.33
  6. Step 6: Final answer
    x = 996.54

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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.