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Finding the Fourth Proportional to 3,144.81, 4,717.32 and 1,413.44

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Solution

The fourth proportional to 3,144.81, 4,717.32 and 1,413.44 is: 2,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.81 : 4,717.32 = 1,413.44 : x
  2. Step 2: Convert to fraction form
    3,144.81/4,717.32 = 1,413.44/x
  3. Step 3: Cross multiply
    3,144.81x = 4,717.32 × 1,413.44
  4. Step 4: Simplify right side
    3,144.81x = 6,667,648.78
  5. Step 5: Solve for x
    x = 6,667,648.78/3,144.81
  6. Step 6: Final answer
    x = 2,120.21

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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.