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Finding the Fourth Proportional to 2,044.72, 3,067.36 and 812.25

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Solution

The fourth proportional to 2,044.72, 3,067.36 and 812.25 is: 1,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.72 : 3,067.36 = 812.25 : x
  2. Step 2: Convert to fraction form
    2,044.72/3,067.36 = 812.25/x
  3. Step 3: Cross multiply
    2,044.72x = 3,067.36 × 812.25
  4. Step 4: Simplify right side
    2,044.72x = 2,491,463.16
  5. Step 5: Solve for x
    x = 2,491,463.16/2,044.72
  6. Step 6: Final answer
    x = 1,218.49

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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.