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Finding the Fourth Proportional to 3,441.80, 5,162.78 and 844.76

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Solution

The fourth proportional to 3,441.80, 5,162.78 and 844.76 is: 1,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.80 : 5,162.78 = 844.76 : x
  2. Step 2: Convert to fraction form
    3,441.80/5,162.78 = 844.76/x
  3. Step 3: Cross multiply
    3,441.80x = 5,162.78 × 844.76
  4. Step 4: Simplify right side
    3,441.80x = 4,361,310.03
  5. Step 5: Solve for x
    x = 4,361,310.03/3,441.80
  6. Step 6: Final answer
    x = 1,267.16

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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.