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Finding the Fourth Proportional to 2,275, 3,413.30 and 1,121.56

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Solution

The fourth proportional to 2,275, 3,413.30 and 1,121.56 is: 1,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275 : 3,413.30 = 1,121.56 : x
  2. Step 2: Convert to fraction form
    2,275/3,413.30 = 1,121.56/x
  3. Step 3: Cross multiply
    2,275x = 3,413.30 × 1,121.56
  4. Step 4: Simplify right side
    2,275x = 3,828,220.75
  5. Step 5: Solve for x
    x = 3,828,220.75/2,275
  6. Step 6: Final answer
    x = 1,682.73

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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.