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Finding the Fourth Proportional to 2,044.94, 3,067.24 and 657.91

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Solution

The fourth proportional to 2,044.94, 3,067.24 and 657.91 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.94 : 3,067.24 = 657.91 : x
  2. Step 2: Convert to fraction form
    2,044.94/3,067.24 = 657.91/x
  3. Step 3: Cross multiply
    2,044.94x = 3,067.24 × 657.91
  4. Step 4: Simplify right side
    2,044.94x = 2,017,967.87
  5. Step 5: Solve for x
    x = 2,017,967.87/2,044.94
  6. Step 6: Final answer
    x = 986.81

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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.