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Finding the Fourth Proportional to 2,453.69, 3,682.67 and 1,632.96

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Solution

The fourth proportional to 2,453.69, 3,682.67 and 1,632.96 is: 2,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.69 : 3,682.67 = 1,632.96 : x
  2. Step 2: Convert to fraction form
    2,453.69/3,682.67 = 1,632.96/x
  3. Step 3: Cross multiply
    2,453.69x = 3,682.67 × 1,632.96
  4. Step 4: Simplify right side
    2,453.69x = 6,013,644.64
  5. Step 5: Solve for x
    x = 6,013,644.64/2,453.69
  6. Step 6: Final answer
    x = 2,450.86

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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.