Home / 2,096.24-3,142.32-1,172.24

Finding the Fourth Proportional to 2,096.24, 3,142.32 and 1,172.24

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Solution

The fourth proportional to 2,096.24, 3,142.32 and 1,172.24 is: 1,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.24 : 3,142.32 = 1,172.24 : x
  2. Step 2: Convert to fraction form
    2,096.24/3,142.32 = 1,172.24/x
  3. Step 3: Cross multiply
    2,096.24x = 3,142.32 × 1,172.24
  4. Step 4: Simplify right side
    2,096.24x = 3,683,553.20
  5. Step 5: Solve for x
    x = 3,683,553.20/2,096.24
  6. Step 6: Final answer
    x = 1,757.22

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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.