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Finding the Fourth Proportional to 2,029.38, 3,044.60 and 568.55

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Solution

The fourth proportional to 2,029.38, 3,044.60 and 568.55 is: 852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.38 : 3,044.60 = 568.55 : x
  2. Step 2: Convert to fraction form
    2,029.38/3,044.60 = 568.55/x
  3. Step 3: Cross multiply
    2,029.38x = 3,044.60 × 568.55
  4. Step 4: Simplify right side
    2,029.38x = 1,730,989.26
  5. Step 5: Solve for x
    x = 1,730,989.26/2,029.38
  6. Step 6: Final answer
    x = 852.96

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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.