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Finding the Fourth Proportional to 2,029.70, 3,044.81 and 568.87

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Solution

The fourth proportional to 2,029.70, 3,044.81 and 568.87 is: 853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.70 : 3,044.81 = 568.87 : x
  2. Step 2: Convert to fraction form
    2,029.70/3,044.81 = 568.87/x
  3. Step 3: Cross multiply
    2,029.70x = 3,044.81 × 568.87
  4. Step 4: Simplify right side
    2,029.70x = 1,732,094.87
  5. Step 5: Solve for x
    x = 1,732,094.87/2,029.70
  6. Step 6: Final answer
    x = 853.37

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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.