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Finding the Fourth Proportional to 3,456.51, 5,185.80 and 1,608.72

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Solution

The fourth proportional to 3,456.51, 5,185.80 and 1,608.72 is: 2,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.51 : 5,185.80 = 1,608.72 : x
  2. Step 2: Convert to fraction form
    3,456.51/5,185.80 = 1,608.72/x
  3. Step 3: Cross multiply
    3,456.51x = 5,185.80 × 1,608.72
  4. Step 4: Simplify right side
    3,456.51x = 8,342,500.18
  5. Step 5: Solve for x
    x = 8,342,500.18/3,456.51
  6. Step 6: Final answer
    x = 2,413.56

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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.