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Finding the Fourth Proportional to 2,274.82, 3,413.67 and 1,302.82

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Solution

The fourth proportional to 2,274.82, 3,413.67 and 1,302.82 is: 1,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.82 : 3,413.67 = 1,302.82 : x
  2. Step 2: Convert to fraction form
    2,274.82/3,413.67 = 1,302.82/x
  3. Step 3: Cross multiply
    2,274.82x = 3,413.67 × 1,302.82
  4. Step 4: Simplify right side
    2,274.82x = 4,447,397.55
  5. Step 5: Solve for x
    x = 4,447,397.55/2,274.82
  6. Step 6: Final answer
    x = 1,955.05

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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.