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Finding the Fourth Proportional to 2,162.05, 3,240.56 and 992.18

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Solution

The fourth proportional to 2,162.05, 3,240.56 and 992.18 is: 1,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.05 : 3,240.56 = 992.18 : x
  2. Step 2: Convert to fraction form
    2,162.05/3,240.56 = 992.18/x
  3. Step 3: Cross multiply
    2,162.05x = 3,240.56 × 992.18
  4. Step 4: Simplify right side
    2,162.05x = 3,215,221.70
  5. Step 5: Solve for x
    x = 3,215,221.70/2,162.05
  6. Step 6: Final answer
    x = 1,487.11

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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.