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Finding the Fourth Proportional to 3,640.43, 5,455.62 and 1,661.23

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Solution

The fourth proportional to 3,640.43, 5,455.62 and 1,661.23 is: 2,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.43 : 5,455.62 = 1,661.23 : x
  2. Step 2: Convert to fraction form
    3,640.43/5,455.62 = 1,661.23/x
  3. Step 3: Cross multiply
    3,640.43x = 5,455.62 × 1,661.23
  4. Step 4: Simplify right side
    3,640.43x = 9,063,054.77
  5. Step 5: Solve for x
    x = 9,063,054.77/3,640.43
  6. Step 6: Final answer
    x = 2,489.56

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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.