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Finding the Fourth Proportional to 2,940.82, 4,411.83 and 992.97

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Solution

The fourth proportional to 2,940.82, 4,411.83 and 992.97 is: 1,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.82 : 4,411.83 = 992.97 : x
  2. Step 2: Convert to fraction form
    2,940.82/4,411.83 = 992.97/x
  3. Step 3: Cross multiply
    2,940.82x = 4,411.83 × 992.97
  4. Step 4: Simplify right side
    2,940.82x = 4,380,814.84
  5. Step 5: Solve for x
    x = 4,380,814.84/2,940.82
  6. Step 6: Final answer
    x = 1,489.66

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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.