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Finding the Fourth Proportional to 2,664.49, 3,997.32 and 815.77

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Solution

The fourth proportional to 2,664.49, 3,997.32 and 815.77 is: 1,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.49 : 3,997.32 = 815.77 : x
  2. Step 2: Convert to fraction form
    2,664.49/3,997.32 = 815.77/x
  3. Step 3: Cross multiply
    2,664.49x = 3,997.32 × 815.77
  4. Step 4: Simplify right side
    2,664.49x = 3,260,893.74
  5. Step 5: Solve for x
    x = 3,260,893.74/2,664.49
  6. Step 6: Final answer
    x = 1,223.83

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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.