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Finding the Fourth Proportional to 2,182.17, 3,273.66 and 722.37

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Solution

The fourth proportional to 2,182.17, 3,273.66 and 722.37 is: 1,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.17 : 3,273.66 = 722.37 : x
  2. Step 2: Convert to fraction form
    2,182.17/3,273.66 = 722.37/x
  3. Step 3: Cross multiply
    2,182.17x = 3,273.66 × 722.37
  4. Step 4: Simplify right side
    2,182.17x = 2,364,793.77
  5. Step 5: Solve for x
    x = 2,364,793.77/2,182.17
  6. Step 6: Final answer
    x = 1,083.69

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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.