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Finding the Fourth Proportional to 3,202.98, 4,413.09 and 2,153.22

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Solution

The fourth proportional to 3,202.98, 4,413.09 and 2,153.22 is: 2,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.98 : 4,413.09 = 2,153.22 : x
  2. Step 2: Convert to fraction form
    3,202.98/4,413.09 = 2,153.22/x
  3. Step 3: Cross multiply
    3,202.98x = 4,413.09 × 2,153.22
  4. Step 4: Simplify right side
    3,202.98x = 9,502,353.65
  5. Step 5: Solve for x
    x = 9,502,353.65/3,202.98
  6. Step 6: Final answer
    x = 2,966.72

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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.