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Finding the Fourth Proportional to 3,229.32, 4,844.78 and 920.82

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Solution

The fourth proportional to 3,229.32, 4,844.78 and 920.82 is: 1,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.32 : 4,844.78 = 920.82 : x
  2. Step 2: Convert to fraction form
    3,229.32/4,844.78 = 920.82/x
  3. Step 3: Cross multiply
    3,229.32x = 4,844.78 × 920.82
  4. Step 4: Simplify right side
    3,229.32x = 4,461,170.32
  5. Step 5: Solve for x
    x = 4,461,170.32/3,229.32
  6. Step 6: Final answer
    x = 1,381.46

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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.