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Finding the Fourth Proportional to 2,224.43, 3,336.60 and 664.44

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Solution

The fourth proportional to 2,224.43, 3,336.60 and 664.44 is: 996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.43 : 3,336.60 = 664.44 : x
  2. Step 2: Convert to fraction form
    2,224.43/3,336.60 = 664.44/x
  3. Step 3: Cross multiply
    2,224.43x = 3,336.60 × 664.44
  4. Step 4: Simplify right side
    2,224.43x = 2,216,966.74
  5. Step 5: Solve for x
    x = 2,216,966.74/2,224.43
  6. Step 6: Final answer
    x = 996.64

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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.