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Finding the Fourth Proportional to 2,275.27, 3,413.13 and 609.37

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Solution

The fourth proportional to 2,275.27, 3,413.13 and 609.37 is: 914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.27 : 3,413.13 = 609.37 : x
  2. Step 2: Convert to fraction form
    2,275.27/3,413.13 = 609.37/x
  3. Step 3: Cross multiply
    2,275.27x = 3,413.13 × 609.37
  4. Step 4: Simplify right side
    2,275.27x = 2,079,859.03
  5. Step 5: Solve for x
    x = 2,079,859.03/2,275.27
  6. Step 6: Final answer
    x = 914.12

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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.