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Finding the Fourth Proportional to 1,413.43, 1,951.54 and 942.44

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Solution

The fourth proportional to 1,413.43, 1,951.54 and 942.44 is: 1,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.43 : 1,951.54 = 942.44 : x
  2. Step 2: Convert to fraction form
    1,413.43/1,951.54 = 942.44/x
  3. Step 3: Cross multiply
    1,413.43x = 1,951.54 × 942.44
  4. Step 4: Simplify right side
    1,413.43x = 1,839,199.89
  5. Step 5: Solve for x
    x = 1,839,199.89/1,413.43
  6. Step 6: Final answer
    x = 1,301.23

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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.