Home / 2,194.89-3,292.40-961.66

Finding the Fourth Proportional to 2,194.89, 3,292.40 and 961.66

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Solution

The fourth proportional to 2,194.89, 3,292.40 and 961.66 is: 1,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.89 : 3,292.40 = 961.66 : x
  2. Step 2: Convert to fraction form
    2,194.89/3,292.40 = 961.66/x
  3. Step 3: Cross multiply
    2,194.89x = 3,292.40 × 961.66
  4. Step 4: Simplify right side
    2,194.89x = 3,166,169.38
  5. Step 5: Solve for x
    x = 3,166,169.38/2,194.89
  6. Step 6: Final answer
    x = 1,442.52

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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.