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Finding the Fourth Proportional to 2,664.82, 3,996.02 and 816.16

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Solution

The fourth proportional to 2,664.82, 3,996.02 and 816.16 is: 1,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.82 : 3,996.02 = 816.16 : x
  2. Step 2: Convert to fraction form
    2,664.82/3,996.02 = 816.16/x
  3. Step 3: Cross multiply
    2,664.82x = 3,996.02 × 816.16
  4. Step 4: Simplify right side
    2,664.82x = 3,261,391.68
  5. Step 5: Solve for x
    x = 3,261,391.68/2,664.82
  6. Step 6: Final answer
    x = 1,223.87

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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.