Home / 2,129.26-3,192.98-829.82

Finding the Fourth Proportional to 2,129.26, 3,192.98 and 829.82

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Solution

The fourth proportional to 2,129.26, 3,192.98 and 829.82 is: 1,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.26 : 3,192.98 = 829.82 : x
  2. Step 2: Convert to fraction form
    2,129.26/3,192.98 = 829.82/x
  3. Step 3: Cross multiply
    2,129.26x = 3,192.98 × 829.82
  4. Step 4: Simplify right side
    2,129.26x = 2,649,598.66
  5. Step 5: Solve for x
    x = 2,649,598.66/2,129.26
  6. Step 6: Final answer
    x = 1,244.38

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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.