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Finding the Fourth Proportional to 2,290.28, 3,413.54 and 2,223.45

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Solution

The fourth proportional to 2,290.28, 3,413.54 and 2,223.45 is: 3,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.28 : 3,413.54 = 2,223.45 : x
  2. Step 2: Convert to fraction form
    2,290.28/3,413.54 = 2,223.45/x
  3. Step 3: Cross multiply
    2,290.28x = 3,413.54 × 2,223.45
  4. Step 4: Simplify right side
    2,290.28x = 7,589,841.07
  5. Step 5: Solve for x
    x = 7,589,841.07/2,290.28
  6. Step 6: Final answer
    x = 3,313.94

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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.