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Finding the Fourth Proportional to 2,275.92, 3,413.19 and 814.74

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Solution

The fourth proportional to 2,275.92, 3,413.19 and 814.74 is: 1,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.92 : 3,413.19 = 814.74 : x
  2. Step 2: Convert to fraction form
    2,275.92/3,413.19 = 814.74/x
  3. Step 3: Cross multiply
    2,275.92x = 3,413.19 × 814.74
  4. Step 4: Simplify right side
    2,275.92x = 2,780,862.42
  5. Step 5: Solve for x
    x = 2,780,862.42/2,275.92
  6. Step 6: Final answer
    x = 1,221.86

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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.