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Finding the Fourth Proportional to 3,297.74, 4,944.83 and 1,351.34

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Solution

The fourth proportional to 3,297.74, 4,944.83 and 1,351.34 is: 2,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.74 : 4,944.83 = 1,351.34 : x
  2. Step 2: Convert to fraction form
    3,297.74/4,944.83 = 1,351.34/x
  3. Step 3: Cross multiply
    3,297.74x = 4,944.83 × 1,351.34
  4. Step 4: Simplify right side
    3,297.74x = 6,682,146.57
  5. Step 5: Solve for x
    x = 6,682,146.57/3,297.74
  6. Step 6: Final answer
    x = 2,026.28

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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.