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Finding the Fourth Proportional to 2,275.39, 3,413.54 and 814.43

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Solution

The fourth proportional to 2,275.39, 3,413.54 and 814.43 is: 1,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.39 : 3,413.54 = 814.43 : x
  2. Step 2: Convert to fraction form
    2,275.39/3,413.54 = 814.43/x
  3. Step 3: Cross multiply
    2,275.39x = 3,413.54 × 814.43
  4. Step 4: Simplify right side
    2,275.39x = 2,780,090.35
  5. Step 5: Solve for x
    x = 2,780,090.35/2,275.39
  6. Step 6: Final answer
    x = 1,221.81

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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.