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Finding the Fourth Proportional to 2,044.23, 3,067.73 and 745.83

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Solution

The fourth proportional to 2,044.23, 3,067.73 and 745.83 is: 1,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.23 : 3,067.73 = 745.83 : x
  2. Step 2: Convert to fraction form
    2,044.23/3,067.73 = 745.83/x
  3. Step 3: Cross multiply
    2,044.23x = 3,067.73 × 745.83
  4. Step 4: Simplify right side
    2,044.23x = 2,288,001.34
  5. Step 5: Solve for x
    x = 2,288,001.34/2,044.23
  6. Step 6: Final answer
    x = 1,119.25

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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.