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Finding the Fourth Proportional to 2,942.66, 4,413.93 and 1,187.62

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Solution

The fourth proportional to 2,942.66, 4,413.93 and 1,187.62 is: 1,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.66 : 4,413.93 = 1,187.62 : x
  2. Step 2: Convert to fraction form
    2,942.66/4,413.93 = 1,187.62/x
  3. Step 3: Cross multiply
    2,942.66x = 4,413.93 × 1,187.62
  4. Step 4: Simplify right side
    2,942.66x = 5,242,064.97
  5. Step 5: Solve for x
    x = 5,242,064.97/2,942.66
  6. Step 6: Final answer
    x = 1,781.40

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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.