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Finding the Fourth Proportional to 2,272.66, 3,413.54 and 2,197.94

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Solution

The fourth proportional to 2,272.66, 3,413.54 and 2,197.94 is: 3,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,413.54 = 2,197.94 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,413.54 = 2,197.94/x
  3. Step 3: Cross multiply
    2,272.66x = 3,413.54 × 2,197.94
  4. Step 4: Simplify right side
    2,272.66x = 7,502,744.53
  5. Step 5: Solve for x
    x = 7,502,744.53/2,272.66
  6. Step 6: Final answer
    x = 3,301.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.