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Finding the Fourth Proportional to 2,942.93, 4,413.49 and 1,300.86

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Solution

The fourth proportional to 2,942.93, 4,413.49 and 1,300.86 is: 1,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.93 : 4,413.49 = 1,300.86 : x
  2. Step 2: Convert to fraction form
    2,942.93/4,413.49 = 1,300.86/x
  3. Step 3: Cross multiply
    2,942.93x = 4,413.49 × 1,300.86
  4. Step 4: Simplify right side
    2,942.93x = 5,741,329.35
  5. Step 5: Solve for x
    x = 5,741,329.35/2,942.93
  6. Step 6: Final answer
    x = 1,950.89

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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.