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Finding the Fourth Proportional to 2,274.71, 3,413.37 and 958.37

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Solution

The fourth proportional to 2,274.71, 3,413.37 and 958.37 is: 1,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.71 : 3,413.37 = 958.37 : x
  2. Step 2: Convert to fraction form
    2,274.71/3,413.37 = 958.37/x
  3. Step 3: Cross multiply
    2,274.71x = 3,413.37 × 958.37
  4. Step 4: Simplify right side
    2,274.71x = 3,271,257.93
  5. Step 5: Solve for x
    x = 3,271,257.93/2,274.71
  6. Step 6: Final answer
    x = 1,438.10

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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.