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Finding the Fourth Proportional to 3,297.75, 4,550.49 and 1,971.20

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Solution

The fourth proportional to 3,297.75, 4,550.49 and 1,971.20 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.75 : 4,550.49 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    3,297.75/4,550.49 = 1,971.20/x
  3. Step 3: Cross multiply
    3,297.75x = 4,550.49 × 1,971.20
  4. Step 4: Simplify right side
    3,297.75x = 8,969,903.14
  5. Step 5: Solve for x
    x = 8,969,903.14/3,297.75
  6. Step 6: Final answer
    x = 2,720.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.