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Finding the Fourth Proportional to 3,164.80, 4,369.20 and 1,906.20

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Solution

The fourth proportional to 3,164.80, 4,369.20 and 1,906.20 is: 2,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.80 : 4,369.20 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,164.80/4,369.20 = 1,906.20/x
  3. Step 3: Cross multiply
    3,164.80x = 4,369.20 × 1,906.20
  4. Step 4: Simplify right side
    3,164.80x = 8,328,569.04
  5. Step 5: Solve for x
    x = 8,328,569.04/3,164.80
  6. Step 6: Final answer
    x = 2,631.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.