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Finding the Fourth Proportional to 2,942.57, 4,413.89 and 751.32

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Solution

The fourth proportional to 2,942.57, 4,413.89 and 751.32 is: 1,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.57 : 4,413.89 = 751.32 : x
  2. Step 2: Convert to fraction form
    2,942.57/4,413.89 = 751.32/x
  3. Step 3: Cross multiply
    2,942.57x = 4,413.89 × 751.32
  4. Step 4: Simplify right side
    2,942.57x = 3,316,243.83
  5. Step 5: Solve for x
    x = 3,316,243.83/2,942.57
  6. Step 6: Final answer
    x = 1,126.99

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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.