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Finding the Fourth Proportional to 2,182.92, 3,273.17 and 1,210.92

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Solution

The fourth proportional to 2,182.92, 3,273.17 and 1,210.92 is: 1,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,273.17 = 1,210.92 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,273.17 = 1,210.92/x
  3. Step 3: Cross multiply
    2,182.92x = 3,273.17 × 1,210.92
  4. Step 4: Simplify right side
    2,182.92x = 3,963,540.96
  5. Step 5: Solve for x
    x = 3,963,540.96/2,182.92
  6. Step 6: Final answer
    x = 1,815.71

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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.