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Finding the Fourth Proportional to 3,231.80, 4,847.15 and 922.76

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Solution

The fourth proportional to 3,231.80, 4,847.15 and 922.76 is: 1,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.80 : 4,847.15 = 922.76 : x
  2. Step 2: Convert to fraction form
    3,231.80/4,847.15 = 922.76/x
  3. Step 3: Cross multiply
    3,231.80x = 4,847.15 × 922.76
  4. Step 4: Simplify right side
    3,231.80x = 4,472,756.13
  5. Step 5: Solve for x
    x = 4,472,756.13/3,231.80
  6. Step 6: Final answer
    x = 1,383.98

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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.