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Finding the Fourth Proportional to 3,229.84, 4,844.85 and 921.34

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Solution

The fourth proportional to 3,229.84, 4,844.85 and 921.34 is: 1,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.84 : 4,844.85 = 921.34 : x
  2. Step 2: Convert to fraction form
    3,229.84/4,844.85 = 921.34/x
  3. Step 3: Cross multiply
    3,229.84x = 4,844.85 × 921.34
  4. Step 4: Simplify right side
    3,229.84x = 4,463,754.10
  5. Step 5: Solve for x
    x = 4,463,754.10/3,229.84
  6. Step 6: Final answer
    x = 1,382.04

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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.