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Finding the Fourth Proportional to 3,304.25, 4,954.75 and 1,636.44

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Solution

The fourth proportional to 3,304.25, 4,954.75 and 1,636.44 is: 2,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.25 : 4,954.75 = 1,636.44 : x
  2. Step 2: Convert to fraction form
    3,304.25/4,954.75 = 1,636.44/x
  3. Step 3: Cross multiply
    3,304.25x = 4,954.75 × 1,636.44
  4. Step 4: Simplify right side
    3,304.25x = 8,108,151.09
  5. Step 5: Solve for x
    x = 8,108,151.09/3,304.25
  6. Step 6: Final answer
    x = 2,453.86

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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.