Home / 2,046.14-3,069.21-949.91

Finding the Fourth Proportional to 2,046.14, 3,069.21 and 949.91

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Solution

The fourth proportional to 2,046.14, 3,069.21 and 949.91 is: 1,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.14 : 3,069.21 = 949.91 : x
  2. Step 2: Convert to fraction form
    2,046.14/3,069.21 = 949.91/x
  3. Step 3: Cross multiply
    2,046.14x = 3,069.21 × 949.91
  4. Step 4: Simplify right side
    2,046.14x = 2,915,457.93
  5. Step 5: Solve for x
    x = 2,915,457.93/2,046.14
  6. Step 6: Final answer
    x = 1,424.86

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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.