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Finding the Fourth Proportional to 2,258.43, 3,388.16 and 942.41

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Solution

The fourth proportional to 2,258.43, 3,388.16 and 942.41 is: 1,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.43 : 3,388.16 = 942.41 : x
  2. Step 2: Convert to fraction form
    2,258.43/3,388.16 = 942.41/x
  3. Step 3: Cross multiply
    2,258.43x = 3,388.16 × 942.41
  4. Step 4: Simplify right side
    2,258.43x = 3,193,035.87
  5. Step 5: Solve for x
    x = 3,193,035.87/2,258.43
  6. Step 6: Final answer
    x = 1,413.83

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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.