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Finding the Fourth Proportional to 3,231.38, 4,846.97 and 922.88

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Solution

The fourth proportional to 3,231.38, 4,846.97 and 922.88 is: 1,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.38 : 4,846.97 = 922.88 : x
  2. Step 2: Convert to fraction form
    3,231.38/4,846.97 = 922.88/x
  3. Step 3: Cross multiply
    3,231.38x = 4,846.97 × 922.88
  4. Step 4: Simplify right side
    3,231.38x = 4,473,186.10
  5. Step 5: Solve for x
    x = 4,473,186.10/3,231.38
  6. Step 6: Final answer
    x = 1,384.29

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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.