Home / 2,096.46-3,145.24-1,172.66

Finding the Fourth Proportional to 2,096.46, 3,145.24 and 1,172.66

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Solution

The fourth proportional to 2,096.46, 3,145.24 and 1,172.66 is: 1,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.46 : 3,145.24 = 1,172.66 : x
  2. Step 2: Convert to fraction form
    2,096.46/3,145.24 = 1,172.66/x
  3. Step 3: Cross multiply
    2,096.46x = 3,145.24 × 1,172.66
  4. Step 4: Simplify right side
    2,096.46x = 3,688,297.14
  5. Step 5: Solve for x
    x = 3,688,297.14/2,096.46
  6. Step 6: Final answer
    x = 1,759.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.