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Finding the Fourth Proportional to 2,029.66, 3,044.57 and 568.94

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Solution

The fourth proportional to 2,029.66, 3,044.57 and 568.94 is: 853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.66 : 3,044.57 = 568.94 : x
  2. Step 2: Convert to fraction form
    2,029.66/3,044.57 = 568.94/x
  3. Step 3: Cross multiply
    2,029.66x = 3,044.57 × 568.94
  4. Step 4: Simplify right side
    2,029.66x = 1,732,177.66
  5. Step 5: Solve for x
    x = 1,732,177.66/2,029.66
  6. Step 6: Final answer
    x = 853.43

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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.