Home / 2,114.06-3,171.11-944.12

Finding the Fourth Proportional to 2,114.06, 3,171.11 and 944.12

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Solution

The fourth proportional to 2,114.06, 3,171.11 and 944.12 is: 1,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.06 : 3,171.11 = 944.12 : x
  2. Step 2: Convert to fraction form
    2,114.06/3,171.11 = 944.12/x
  3. Step 3: Cross multiply
    2,114.06x = 3,171.11 × 944.12
  4. Step 4: Simplify right side
    2,114.06x = 2,993,902.05
  5. Step 5: Solve for x
    x = 2,993,902.05/2,114.06
  6. Step 6: Final answer
    x = 1,416.19

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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.