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Finding the Fourth Proportional to 2,197.91, 3,033.11 and 1,203.21

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Solution

The fourth proportional to 2,197.91, 3,033.11 and 1,203.21 is: 1,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.91 : 3,033.11 = 1,203.21 : x
  2. Step 2: Convert to fraction form
    2,197.91/3,033.11 = 1,203.21/x
  3. Step 3: Cross multiply
    2,197.91x = 3,033.11 × 1,203.21
  4. Step 4: Simplify right side
    2,197.91x = 3,649,468.28
  5. Step 5: Solve for x
    x = 3,649,468.28/2,197.91
  6. Step 6: Final answer
    x = 1,660.43

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1.5x scale

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.