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Finding the Fourth Proportional to 2,274.68, 3,413.56 and 976.26

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Solution

The fourth proportional to 2,274.68, 3,413.56 and 976.26 is: 1,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.68 : 3,413.56 = 976.26 : x
  2. Step 2: Convert to fraction form
    2,274.68/3,413.56 = 976.26/x
  3. Step 3: Cross multiply
    2,274.68x = 3,413.56 × 976.26
  4. Step 4: Simplify right side
    2,274.68x = 3,332,522.09
  5. Step 5: Solve for x
    x = 3,332,522.09/2,274.68
  6. Step 6: Final answer
    x = 1,465.05

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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.