Home / 3,174.17-4,759.89-982.38

Finding the Fourth Proportional to 3,174.17, 4,759.89 and 982.38

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Solution

The fourth proportional to 3,174.17, 4,759.89 and 982.38 is: 1,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.17 : 4,759.89 = 982.38 : x
  2. Step 2: Convert to fraction form
    3,174.17/4,759.89 = 982.38/x
  3. Step 3: Cross multiply
    3,174.17x = 4,759.89 × 982.38
  4. Step 4: Simplify right side
    3,174.17x = 4,676,020.74
  5. Step 5: Solve for x
    x = 4,676,020.74/3,174.17
  6. Step 6: Final answer
    x = 1,473.15

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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.