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Finding the Fourth Proportional to 2,123.81, 3,183.31 and 1,081.61

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Solution

The fourth proportional to 2,123.81, 3,183.31 and 1,081.61 is: 1,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.81 : 3,183.31 = 1,081.61 : x
  2. Step 2: Convert to fraction form
    2,123.81/3,183.31 = 1,081.61/x
  3. Step 3: Cross multiply
    2,123.81x = 3,183.31 × 1,081.61
  4. Step 4: Simplify right side
    2,123.81x = 3,443,089.27
  5. Step 5: Solve for x
    x = 3,443,089.27/2,123.81
  6. Step 6: Final answer
    x = 1,621.19

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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.