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Finding the Fourth Proportional to 3,297.87, 4,944.03 and 2,255.32

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Solution

The fourth proportional to 3,297.87, 4,944.03 and 2,255.32 is: 3,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.87 : 4,944.03 = 2,255.32 : x
  2. Step 2: Convert to fraction form
    3,297.87/4,944.03 = 2,255.32/x
  3. Step 3: Cross multiply
    3,297.87x = 4,944.03 × 2,255.32
  4. Step 4: Simplify right side
    3,297.87x = 11,150,369.74
  5. Step 5: Solve for x
    x = 11,150,369.74/3,297.87
  6. Step 6: Final answer
    x = 3,381.08

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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.