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Finding the Fourth Proportional to 2,029.74, 3,044.61 and 568.91

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Solution

The fourth proportional to 2,029.74, 3,044.61 and 568.91 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.74 : 3,044.61 = 568.91 : x
  2. Step 2: Convert to fraction form
    2,029.74/3,044.61 = 568.91/x
  3. Step 3: Cross multiply
    2,029.74x = 3,044.61 × 568.91
  4. Step 4: Simplify right side
    2,029.74x = 1,732,093.85
  5. Step 5: Solve for x
    x = 1,732,093.85/2,029.74
  6. Step 6: Final answer
    x = 853.36

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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.