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Finding the Fourth Proportional to 1,906.45, 2,632.17 and 1,463.56

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Solution

The fourth proportional to 1,906.45, 2,632.17 and 1,463.56 is: 2,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.45 : 2,632.17 = 1,463.56 : x
  2. Step 2: Convert to fraction form
    1,906.45/2,632.17 = 1,463.56/x
  3. Step 3: Cross multiply
    1,906.45x = 2,632.17 × 1,463.56
  4. Step 4: Simplify right side
    1,906.45x = 3,852,338.73
  5. Step 5: Solve for x
    x = 3,852,338.73/1,906.45
  6. Step 6: Final answer
    x = 2,020.69

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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.