Home / 2,174.31-3,233.49-2,105.12

Finding the Fourth Proportional to 2,174.31, 3,233.49 and 2,105.12

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Solution

The fourth proportional to 2,174.31, 3,233.49 and 2,105.12 is: 3,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.31 : 3,233.49 = 2,105.12 : x
  2. Step 2: Convert to fraction form
    2,174.31/3,233.49 = 2,105.12/x
  3. Step 3: Cross multiply
    2,174.31x = 3,233.49 × 2,105.12
  4. Step 4: Simplify right side
    2,174.31x = 6,806,868.30
  5. Step 5: Solve for x
    x = 6,806,868.30/2,174.31
  6. Step 6: Final answer
    x = 3,130.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.