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Finding the Fourth Proportional to 3,200.97, 4,413.36 and 2,670.63

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Solution

The fourth proportional to 3,200.97, 4,413.36 and 2,670.63 is: 3,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.97 : 4,413.36 = 2,670.63 : x
  2. Step 2: Convert to fraction form
    3,200.97/4,413.36 = 2,670.63/x
  3. Step 3: Cross multiply
    3,200.97x = 4,413.36 × 2,670.63
  4. Step 4: Simplify right side
    3,200.97x = 11,786,451.62
  5. Step 5: Solve for x
    x = 11,786,451.62/3,200.97
  6. Step 6: Final answer
    x = 3,682.15

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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.