Home / 2,277.62-3,416.16-796.52

Finding the Fourth Proportional to 2,277.62, 3,416.16 and 796.52

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Solution

The fourth proportional to 2,277.62, 3,416.16 and 796.52 is: 1,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.62 : 3,416.16 = 796.52 : x
  2. Step 2: Convert to fraction form
    2,277.62/3,416.16 = 796.52/x
  3. Step 3: Cross multiply
    2,277.62x = 3,416.16 × 796.52
  4. Step 4: Simplify right side
    2,277.62x = 2,721,039.76
  5. Step 5: Solve for x
    x = 2,721,039.76/2,277.62
  6. Step 6: Final answer
    x = 1,194.69

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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.