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Finding the Fourth Proportional to 3,199.63, 4,413.80 and 2,203.18

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Solution

The fourth proportional to 3,199.63, 4,413.80 and 2,203.18 is: 3,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.63 : 4,413.80 = 2,203.18 : x
  2. Step 2: Convert to fraction form
    3,199.63/4,413.80 = 2,203.18/x
  3. Step 3: Cross multiply
    3,199.63x = 4,413.80 × 2,203.18
  4. Step 4: Simplify right side
    3,199.63x = 9,724,373.83
  5. Step 5: Solve for x
    x = 9,724,373.83/3,199.63
  6. Step 6: Final answer
    x = 3,039.22

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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.