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Finding the Fourth Proportional to 2,297.41, 3,171.61 and 1,413.73

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Solution

The fourth proportional to 2,297.41, 3,171.61 and 1,413.73 is: 1,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.41 : 3,171.61 = 1,413.73 : x
  2. Step 2: Convert to fraction form
    2,297.41/3,171.61 = 1,413.73/x
  3. Step 3: Cross multiply
    2,297.41x = 3,171.61 × 1,413.73
  4. Step 4: Simplify right side
    2,297.41x = 4,483,789.06
  5. Step 5: Solve for x
    x = 4,483,789.06/2,297.41
  6. Step 6: Final answer
    x = 1,951.67

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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.