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Finding the Fourth Proportional to 2,120.71, 3,183.01 and 1,081.46

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Solution

The fourth proportional to 2,120.71, 3,183.01 and 1,081.46 is: 1,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.71 : 3,183.01 = 1,081.46 : x
  2. Step 2: Convert to fraction form
    2,120.71/3,183.01 = 1,081.46/x
  3. Step 3: Cross multiply
    2,120.71x = 3,183.01 × 1,081.46
  4. Step 4: Simplify right side
    2,120.71x = 3,442,291.31
  5. Step 5: Solve for x
    x = 3,442,291.31/2,120.71
  6. Step 6: Final answer
    x = 1,623.18

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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.