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Finding the Fourth Proportional to 2,413.59, 3,618.21 and 852.66

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Solution

The fourth proportional to 2,413.59, 3,618.21 and 852.66 is: 1,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.59 : 3,618.21 = 852.66 : x
  2. Step 2: Convert to fraction form
    2,413.59/3,618.21 = 852.66/x
  3. Step 3: Cross multiply
    2,413.59x = 3,618.21 × 852.66
  4. Step 4: Simplify right side
    2,413.59x = 3,085,102.94
  5. Step 5: Solve for x
    x = 3,085,102.94/2,413.59
  6. Step 6: Final answer
    x = 1,278.22

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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.