Home / 3,144.82-4,716.13-923.04

Finding the Fourth Proportional to 3,144.82, 4,716.13 and 923.04

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Solution

The fourth proportional to 3,144.82, 4,716.13 and 923.04 is: 1,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.82 : 4,716.13 = 923.04 : x
  2. Step 2: Convert to fraction form
    3,144.82/4,716.13 = 923.04/x
  3. Step 3: Cross multiply
    3,144.82x = 4,716.13 × 923.04
  4. Step 4: Simplify right side
    3,144.82x = 4,353,176.64
  5. Step 5: Solve for x
    x = 4,353,176.64/3,144.82
  6. Step 6: Final answer
    x = 1,384.24

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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.