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Finding the Fourth Proportional to 2,183.73, 3,273.66 and 1,565.88

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Solution

The fourth proportional to 2,183.73, 3,273.66 and 1,565.88 is: 2,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.73 : 3,273.66 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    2,183.73/3,273.66 = 1,565.88/x
  3. Step 3: Cross multiply
    2,183.73x = 3,273.66 × 1,565.88
  4. Step 4: Simplify right side
    2,183.73x = 5,126,170.82
  5. Step 5: Solve for x
    x = 5,126,170.82/2,183.73
  6. Step 6: Final answer
    x = 2,347.44

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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.