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Finding the Fourth Proportional to 2,028.72, 3,042.22 and 857.96

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Solution

The fourth proportional to 2,028.72, 3,042.22 and 857.96 is: 1,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.72 : 3,042.22 = 857.96 : x
  2. Step 2: Convert to fraction form
    2,028.72/3,042.22 = 857.96/x
  3. Step 3: Cross multiply
    2,028.72x = 3,042.22 × 857.96
  4. Step 4: Simplify right side
    2,028.72x = 2,610,103.07
  5. Step 5: Solve for x
    x = 2,610,103.07/2,028.72
  6. Step 6: Final answer
    x = 1,286.58

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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.