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Finding the Fourth Proportional to 3,122.72, 4,682.71 and 1,661.53

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Solution

The fourth proportional to 3,122.72, 4,682.71 and 1,661.53 is: 2,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.72 : 4,682.71 = 1,661.53 : x
  2. Step 2: Convert to fraction form
    3,122.72/4,682.71 = 1,661.53/x
  3. Step 3: Cross multiply
    3,122.72x = 4,682.71 × 1,661.53
  4. Step 4: Simplify right side
    3,122.72x = 7,780,453.52
  5. Step 5: Solve for x
    x = 7,780,453.52/3,122.72
  6. Step 6: Final answer
    x = 2,491.56

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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.