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Finding the Fourth Proportional to 2,198.01, 3,035.31 and 1,413.42

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Solution

The fourth proportional to 2,198.01, 3,035.31 and 1,413.42 is: 1,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.01 : 3,035.31 = 1,413.42 : x
  2. Step 2: Convert to fraction form
    2,198.01/3,035.31 = 1,413.42/x
  3. Step 3: Cross multiply
    2,198.01x = 3,035.31 × 1,413.42
  4. Step 4: Simplify right side
    2,198.01x = 4,290,167.86
  5. Step 5: Solve for x
    x = 4,290,167.86/2,198.01
  6. Step 6: Final answer
    x = 1,951.84

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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.