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Finding the Fourth Proportional to 2,044.94, 3,067.50 and 584.30

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Solution

The fourth proportional to 2,044.94, 3,067.50 and 584.30 is: 876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.94 : 3,067.50 = 584.30 : x
  2. Step 2: Convert to fraction form
    2,044.94/3,067.50 = 584.30/x
  3. Step 3: Cross multiply
    2,044.94x = 3,067.50 × 584.30
  4. Step 4: Simplify right side
    2,044.94x = 1,792,350.11
  5. Step 5: Solve for x
    x = 1,792,350.11/2,044.94
  6. Step 6: Final answer
    x = 876.48

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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.