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Finding the Fourth Proportional to 2,276.73, 3,413.73 and 890.72

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Solution

The fourth proportional to 2,276.73, 3,413.73 and 890.72 is: 1,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.73 : 3,413.73 = 890.72 : x
  2. Step 2: Convert to fraction form
    2,276.73/3,413.73 = 890.72/x
  3. Step 3: Cross multiply
    2,276.73x = 3,413.73 × 890.72
  4. Step 4: Simplify right side
    2,276.73x = 3,040,677.59
  5. Step 5: Solve for x
    x = 3,040,677.59/2,276.73
  6. Step 6: Final answer
    x = 1,335.55

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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.