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Finding the Fourth Proportional to 2,183.61, 3,274.39 and 795.97

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Solution

The fourth proportional to 2,183.61, 3,274.39 and 795.97 is: 1,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.61 : 3,274.39 = 795.97 : x
  2. Step 2: Convert to fraction form
    2,183.61/3,274.39 = 795.97/x
  3. Step 3: Cross multiply
    2,183.61x = 3,274.39 × 795.97
  4. Step 4: Simplify right side
    2,183.61x = 2,606,316.21
  5. Step 5: Solve for x
    x = 2,606,316.21/2,183.61
  6. Step 6: Final answer
    x = 1,193.58

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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.