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Finding the Fourth Proportional to 2,274.84, 3,413.22 and 2,093.22

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Solution

The fourth proportional to 2,274.84, 3,413.22 and 2,093.22 is: 3,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,413.22 = 2,093.22 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,413.22 = 2,093.22/x
  3. Step 3: Cross multiply
    2,274.84x = 3,413.22 × 2,093.22
  4. Step 4: Simplify right side
    2,274.84x = 7,144,620.37
  5. Step 5: Solve for x
    x = 7,144,620.37/2,274.84
  6. Step 6: Final answer
    x = 3,140.71

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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.