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Finding the Fourth Proportional to 2,197.92, 3,297.23 and 1,027.88

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Solution

The fourth proportional to 2,197.92, 3,297.23 and 1,027.88 is: 1,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.92 : 3,297.23 = 1,027.88 : x
  2. Step 2: Convert to fraction form
    2,197.92/3,297.23 = 1,027.88/x
  3. Step 3: Cross multiply
    2,197.92x = 3,297.23 × 1,027.88
  4. Step 4: Simplify right side
    2,197.92x = 3,389,151.37
  5. Step 5: Solve for x
    x = 3,389,151.37/2,197.92
  6. Step 6: Final answer
    x = 1,541.98

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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.