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Finding the Fourth Proportional to 2,274.84, 3,413.49 and 2,109.60

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Solution

The fourth proportional to 2,274.84, 3,413.49 and 2,109.60 is: 3,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,413.49 = 2,109.60 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,413.49 = 2,109.60/x
  3. Step 3: Cross multiply
    2,274.84x = 3,413.49 × 2,109.60
  4. Step 4: Simplify right side
    2,274.84x = 7,201,098.50
  5. Step 5: Solve for x
    x = 7,201,098.50/2,274.84
  6. Step 6: Final answer
    x = 3,165.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.