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Finding the Fourth Proportional to 2,029.73, 3,044.24 and 568.54

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Solution

The fourth proportional to 2,029.73, 3,044.24 and 568.54 is: 852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.73 : 3,044.24 = 568.54 : x
  2. Step 2: Convert to fraction form
    2,029.73/3,044.24 = 568.54/x
  3. Step 3: Cross multiply
    2,029.73x = 3,044.24 × 568.54
  4. Step 4: Simplify right side
    2,029.73x = 1,730,772.21
  5. Step 5: Solve for x
    x = 1,730,772.21/2,029.73
  6. Step 6: Final answer
    x = 852.71

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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.