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Finding the Fourth Proportional to 2,632.73, 3,631.79 and 1,961.24

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Solution

The fourth proportional to 2,632.73, 3,631.79 and 1,961.24 is: 2,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.73 : 3,631.79 = 1,961.24 : x
  2. Step 2: Convert to fraction form
    2,632.73/3,631.79 = 1,961.24/x
  3. Step 3: Cross multiply
    2,632.73x = 3,631.79 × 1,961.24
  4. Step 4: Simplify right side
    2,632.73x = 7,122,798.56
  5. Step 5: Solve for x
    x = 7,122,798.56/2,632.73
  6. Step 6: Final answer
    x = 2,705.49

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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.