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Finding the Fourth Proportional to 2,029.27, 3,044.42 and 568.43

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Solution

The fourth proportional to 2,029.27, 3,044.42 and 568.43 is: 852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.27 : 3,044.42 = 568.43 : x
  2. Step 2: Convert to fraction form
    2,029.27/3,044.42 = 568.43/x
  3. Step 3: Cross multiply
    2,029.27x = 3,044.42 × 568.43
  4. Step 4: Simplify right side
    2,029.27x = 1,730,539.66
  5. Step 5: Solve for x
    x = 1,730,539.66/2,029.27
  6. Step 6: Final answer
    x = 852.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.