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Finding the Fourth Proportional to 1,413.43, 1,951.22 and 941.60

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Solution

The fourth proportional to 1,413.43, 1,951.22 and 941.60 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.43 : 1,951.22 = 941.60 : x
  2. Step 2: Convert to fraction form
    1,413.43/1,951.22 = 941.60/x
  3. Step 3: Cross multiply
    1,413.43x = 1,951.22 × 941.60
  4. Step 4: Simplify right side
    1,413.43x = 1,837,268.75
  5. Step 5: Solve for x
    x = 1,837,268.75/1,413.43
  6. Step 6: Final answer
    x = 1,299.87

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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.