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Finding the Fourth Proportional to 3,198.51, 4,413.63 and 1,782.09

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Solution

The fourth proportional to 3,198.51, 4,413.63 and 1,782.09 is: 2,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.51 : 4,413.63 = 1,782.09 : x
  2. Step 2: Convert to fraction form
    3,198.51/4,413.63 = 1,782.09/x
  3. Step 3: Cross multiply
    3,198.51x = 4,413.63 × 1,782.09
  4. Step 4: Simplify right side
    3,198.51x = 7,865,485.89
  5. Step 5: Solve for x
    x = 7,865,485.89/3,198.51
  6. Step 6: Final answer
    x = 2,459.11

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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.