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Finding the Fourth Proportional to 2,182.12, 3,273.27 and 721.27

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Solution

The fourth proportional to 2,182.12, 3,273.27 and 721.27 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.12 : 3,273.27 = 721.27 : x
  2. Step 2: Convert to fraction form
    2,182.12/3,273.27 = 721.27/x
  3. Step 3: Cross multiply
    2,182.12x = 3,273.27 × 721.27
  4. Step 4: Simplify right side
    2,182.12x = 2,360,911.45
  5. Step 5: Solve for x
    x = 2,360,911.45/2,182.12
  6. Step 6: Final answer
    x = 1,081.93

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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.