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Finding the Fourth Proportional to 1,906.29, 2,631.87 and 1,463.31

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Solution

The fourth proportional to 1,906.29, 2,631.87 and 1,463.31 is: 2,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.29 : 2,631.87 = 1,463.31 : x
  2. Step 2: Convert to fraction form
    1,906.29/2,631.87 = 1,463.31/x
  3. Step 3: Cross multiply
    1,906.29x = 2,631.87 × 1,463.31
  4. Step 4: Simplify right side
    1,906.29x = 3,851,241.69
  5. Step 5: Solve for x
    x = 3,851,241.69/1,906.29
  6. Step 6: Final answer
    x = 2,020.28

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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.