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Finding the Fourth Proportional to 2,049.44, 3,073.60 and 568.30

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Solution

The fourth proportional to 2,049.44, 3,073.60 and 568.30 is: 852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.44 : 3,073.60 = 568.30 : x
  2. Step 2: Convert to fraction form
    2,049.44/3,073.60 = 568.30/x
  3. Step 3: Cross multiply
    2,049.44x = 3,073.60 × 568.30
  4. Step 4: Simplify right side
    2,049.44x = 1,746,726.88
  5. Step 5: Solve for x
    x = 1,746,726.88/2,049.44
  6. Step 6: Final answer
    x = 852.29

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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.