Home / 2,121.82-3,182.83-1,027.10

Finding the Fourth Proportional to 2,121.82, 3,182.83 and 1,027.10

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Solution

The fourth proportional to 2,121.82, 3,182.83 and 1,027.10 is: 1,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.82 : 3,182.83 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    2,121.82/3,182.83 = 1,027.10/x
  3. Step 3: Cross multiply
    2,121.82x = 3,182.83 × 1,027.10
  4. Step 4: Simplify right side
    2,121.82x = 3,269,090.08
  5. Step 5: Solve for x
    x = 3,269,090.08/2,121.82
  6. Step 6: Final answer
    x = 1,540.70

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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.