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Finding the Fourth Proportional to 3,297.28, 4,945.72 and 832.09

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Solution

The fourth proportional to 3,297.28, 4,945.72 and 832.09 is: 1,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.28 : 4,945.72 = 832.09 : x
  2. Step 2: Convert to fraction form
    3,297.28/4,945.72 = 832.09/x
  3. Step 3: Cross multiply
    3,297.28x = 4,945.72 × 832.09
  4. Step 4: Simplify right side
    3,297.28x = 4,115,255.27
  5. Step 5: Solve for x
    x = 4,115,255.27/3,297.28
  6. Step 6: Final answer
    x = 1,248.08

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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.