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Finding the Fourth Proportional to 2,350.72, 3,527.24 and 1,661.82

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Solution

The fourth proportional to 2,350.72, 3,527.24 and 1,661.82 is: 2,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.72 : 3,527.24 = 1,661.82 : x
  2. Step 2: Convert to fraction form
    2,350.72/3,527.24 = 1,661.82/x
  3. Step 3: Cross multiply
    2,350.72x = 3,527.24 × 1,661.82
  4. Step 4: Simplify right side
    2,350.72x = 5,861,616.44
  5. Step 5: Solve for x
    x = 5,861,616.44/2,350.72
  6. Step 6: Final answer
    x = 2,493.54

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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.