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Finding the Fourth Proportional to 2,290.72, 3,413.59 and 2,227.36

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Solution

The fourth proportional to 2,290.72, 3,413.59 and 2,227.36 is: 3,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.72 : 3,413.59 = 2,227.36 : x
  2. Step 2: Convert to fraction form
    2,290.72/3,413.59 = 2,227.36/x
  3. Step 3: Cross multiply
    2,290.72x = 3,413.59 × 2,227.36
  4. Step 4: Simplify right side
    2,290.72x = 7,603,293.82
  5. Step 5: Solve for x
    x = 7,603,293.82/2,290.72
  6. Step 6: Final answer
    x = 3,319.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.