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Finding the Fourth Proportional to 2,039.03, 3,056.79 and 942.83

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Solution

The fourth proportional to 2,039.03, 3,056.79 and 942.83 is: 1,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.03 : 3,056.79 = 942.83 : x
  2. Step 2: Convert to fraction form
    2,039.03/3,056.79 = 942.83/x
  3. Step 3: Cross multiply
    2,039.03x = 3,056.79 × 942.83
  4. Step 4: Simplify right side
    2,039.03x = 2,882,033.32
  5. Step 5: Solve for x
    x = 2,882,033.32/2,039.03
  6. Step 6: Final answer
    x = 1,413.43

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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.