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Finding the Fourth Proportional to 2,029.49, 3,044.24 and 568.69

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Solution

The fourth proportional to 2,029.49, 3,044.24 and 568.69 is: 853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.49 : 3,044.24 = 568.69 : x
  2. Step 2: Convert to fraction form
    2,029.49/3,044.24 = 568.69/x
  3. Step 3: Cross multiply
    2,029.49x = 3,044.24 × 568.69
  4. Step 4: Simplify right side
    2,029.49x = 1,731,228.85
  5. Step 5: Solve for x
    x = 1,731,228.85/2,029.49
  6. Step 6: Final answer
    x = 853.04

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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.