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Finding the Fourth Proportional to 2,857, 3,942.66 and 1,615.24

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Solution

The fourth proportional to 2,857, 3,942.66 and 1,615.24 is: 2,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 3,942.66 = 1,615.24 : x
  2. Step 2: Convert to fraction form
    2,857/3,942.66 = 1,615.24/x
  3. Step 3: Cross multiply
    2,857x = 3,942.66 × 1,615.24
  4. Step 4: Simplify right side
    2,857x = 6,368,342.14
  5. Step 5: Solve for x
    x = 6,368,342.14/2,857
  6. Step 6: Final answer
    x = 2,229.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.