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Finding the Fourth Proportional to 2,162.97, 2,984.83 and 1,231.29

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Solution

The fourth proportional to 2,162.97, 2,984.83 and 1,231.29 is: 1,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.97 : 2,984.83 = 1,231.29 : x
  2. Step 2: Convert to fraction form
    2,162.97/2,984.83 = 1,231.29/x
  3. Step 3: Cross multiply
    2,162.97x = 2,984.83 × 1,231.29
  4. Step 4: Simplify right side
    2,162.97x = 3,675,185.17
  5. Step 5: Solve for x
    x = 3,675,185.17/2,162.97
  6. Step 6: Final answer
    x = 1,699.14

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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.