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Finding the Fourth Proportional to 1,413.98, 1,951.96 and 942.66

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Solution

The fourth proportional to 1,413.98, 1,951.96 and 942.66 is: 1,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.98 : 1,951.96 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,413.98/1,951.96 = 942.66/x
  3. Step 3: Cross multiply
    1,413.98x = 1,951.96 × 942.66
  4. Step 4: Simplify right side
    1,413.98x = 1,840,025.02
  5. Step 5: Solve for x
    x = 1,840,025.02/1,413.98
  6. Step 6: Final answer
    x = 1,301.31

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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.