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Finding the Fourth Proportional to 2,942.09, 4,060.09 and 1,615.88

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Solution

The fourth proportional to 2,942.09, 4,060.09 and 1,615.88 is: 2,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.09 : 4,060.09 = 1,615.88 : x
  2. Step 2: Convert to fraction form
    2,942.09/4,060.09 = 1,615.88/x
  3. Step 3: Cross multiply
    2,942.09x = 4,060.09 × 1,615.88
  4. Step 4: Simplify right side
    2,942.09x = 6,560,621.31
  5. Step 5: Solve for x
    x = 6,560,621.31/2,942.09
  6. Step 6: Final answer
    x = 2,229.92

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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.