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Finding the Fourth Proportional to 1,608.80, 2,413.06 and 1,092.12

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Solution

The fourth proportional to 1,608.80, 2,413.06 and 1,092.12 is: 1,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.80 : 2,413.06 = 1,092.12 : x
  2. Step 2: Convert to fraction form
    1,608.80/2,413.06 = 1,092.12/x
  3. Step 3: Cross multiply
    1,608.80x = 2,413.06 × 1,092.12
  4. Step 4: Simplify right side
    1,608.80x = 2,635,339.31
  5. Step 5: Solve for x
    x = 2,635,339.31/1,608.80
  6. Step 6: Final answer
    x = 1,638.08

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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.