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Finding the Fourth Proportional to 2,942.08, 4,059.84 and 1,615.84

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Solution

The fourth proportional to 2,942.08, 4,059.84 and 1,615.84 is: 2,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.08 : 4,059.84 = 1,615.84 : x
  2. Step 2: Convert to fraction form
    2,942.08/4,059.84 = 1,615.84/x
  3. Step 3: Cross multiply
    2,942.08x = 4,059.84 × 1,615.84
  4. Step 4: Simplify right side
    2,942.08x = 6,560,051.87
  5. Step 5: Solve for x
    x = 6,560,051.87/2,942.08
  6. Step 6: Final answer
    x = 2,229.73

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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.