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Finding the Fourth Proportional to 2,197.48, 3,294.24 and 809.88

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Solution

The fourth proportional to 2,197.48, 3,294.24 and 809.88 is: 1,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.48 : 3,294.24 = 809.88 : x
  2. Step 2: Convert to fraction form
    2,197.48/3,294.24 = 809.88/x
  3. Step 3: Cross multiply
    2,197.48x = 3,294.24 × 809.88
  4. Step 4: Simplify right side
    2,197.48x = 2,667,939.09
  5. Step 5: Solve for x
    x = 2,667,939.09/2,197.48
  6. Step 6: Final answer
    x = 1,214.09

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1.5x scale

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.