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Finding the Fourth Proportional to 2,044.92, 3,067.74 and 950.52

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Solution

The fourth proportional to 2,044.92, 3,067.74 and 950.52 is: 1,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.92 : 3,067.74 = 950.52 : x
  2. Step 2: Convert to fraction form
    2,044.92/3,067.74 = 950.52/x
  3. Step 3: Cross multiply
    2,044.92x = 3,067.74 × 950.52
  4. Step 4: Simplify right side
    2,044.92x = 2,915,948.22
  5. Step 5: Solve for x
    x = 2,915,948.22/2,044.92
  6. Step 6: Final answer
    x = 1,425.95

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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.