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Finding the Fourth Proportional to 2,028.92, 3,043.15 and 568.19

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Solution

The fourth proportional to 2,028.92, 3,043.15 and 568.19 is: 852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.92 : 3,043.15 = 568.19 : x
  2. Step 2: Convert to fraction form
    2,028.92/3,043.15 = 568.19/x
  3. Step 3: Cross multiply
    2,028.92x = 3,043.15 × 568.19
  4. Step 4: Simplify right side
    2,028.92x = 1,729,093.59
  5. Step 5: Solve for x
    x = 1,729,093.59/2,028.92
  6. Step 6: Final answer
    x = 852.22

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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.