Home / 2,277.12-3,416.49-796.55

Finding the Fourth Proportional to 2,277.12, 3,416.49 and 796.55

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Solution

The fourth proportional to 2,277.12, 3,416.49 and 796.55 is: 1,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.12 : 3,416.49 = 796.55 : x
  2. Step 2: Convert to fraction form
    2,277.12/3,416.49 = 796.55/x
  3. Step 3: Cross multiply
    2,277.12x = 3,416.49 × 796.55
  4. Step 4: Simplify right side
    2,277.12x = 2,721,413.65
  5. Step 5: Solve for x
    x = 2,721,413.65/2,277.12
  6. Step 6: Final answer
    x = 1,195.11

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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.