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Finding the Fourth Proportional to 3,198.50, 4,413.80 and 1,782.15

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Solution

The fourth proportional to 3,198.50, 4,413.80 and 1,782.15 is: 2,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.50 : 4,413.80 = 1,782.15 : x
  2. Step 2: Convert to fraction form
    3,198.50/4,413.80 = 1,782.15/x
  3. Step 3: Cross multiply
    3,198.50x = 4,413.80 × 1,782.15
  4. Step 4: Simplify right side
    3,198.50x = 7,866,031.60
  5. Step 5: Solve for x
    x = 7,866,031.60/3,198.50
  6. Step 6: Final answer
    x = 2,459.29

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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.