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Finding the Fourth Proportional to 3,413.61, 4,710.74 and 1,998.27

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Solution

The fourth proportional to 3,413.61, 4,710.74 and 1,998.27 is: 2,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.61 : 4,710.74 = 1,998.27 : x
  2. Step 2: Convert to fraction form
    3,413.61/4,710.74 = 1,998.27/x
  3. Step 3: Cross multiply
    3,413.61x = 4,710.74 × 1,998.27
  4. Step 4: Simplify right side
    3,413.61x = 9,413,320.43
  5. Step 5: Solve for x
    x = 9,413,320.43/3,413.61
  6. Step 6: Final answer
    x = 2,757.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.