Home / 2,277.20-3,416.61-796.64

Finding the Fourth Proportional to 2,277.20, 3,416.61 and 796.64

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Solution

The fourth proportional to 2,277.20, 3,416.61 and 796.64 is: 1,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.20 : 3,416.61 = 796.64 : x
  2. Step 2: Convert to fraction form
    2,277.20/3,416.61 = 796.64/x
  3. Step 3: Cross multiply
    2,277.20x = 3,416.61 × 796.64
  4. Step 4: Simplify right side
    2,277.20x = 2,721,791.11
  5. Step 5: Solve for x
    x = 2,721,791.11/2,277.20
  6. Step 6: Final answer
    x = 1,195.24

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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.