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Finding the Fourth Proportional to 3,296.16, 4,944.24 and 2,202.66

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Solution

The fourth proportional to 3,296.16, 4,944.24 and 2,202.66 is: 3,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.16 : 4,944.24 = 2,202.66 : x
  2. Step 2: Convert to fraction form
    3,296.16/4,944.24 = 2,202.66/x
  3. Step 3: Cross multiply
    3,296.16x = 4,944.24 × 2,202.66
  4. Step 4: Simplify right side
    3,296.16x = 10,890,479.68
  5. Step 5: Solve for x
    x = 10,890,479.68/3,296.16
  6. Step 6: Final answer
    x = 3,303.99

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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.