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Finding the Fourth Proportional to 2,274.42, 3,413.25 and 1,754.94

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Solution

The fourth proportional to 2,274.42, 3,413.25 and 1,754.94 is: 2,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.42 : 3,413.25 = 1,754.94 : x
  2. Step 2: Convert to fraction form
    2,274.42/3,413.25 = 1,754.94/x
  3. Step 3: Cross multiply
    2,274.42x = 3,413.25 × 1,754.94
  4. Step 4: Simplify right side
    2,274.42x = 5,990,048.96
  5. Step 5: Solve for x
    x = 5,990,048.96/2,274.42
  6. Step 6: Final answer
    x = 2,633.66

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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.