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Finding the Fourth Proportional to 2,504.44, 3,753.84 and 942.92

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Solution

The fourth proportional to 2,504.44, 3,753.84 and 942.92 is: 1,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.44 : 3,753.84 = 942.92 : x
  2. Step 2: Convert to fraction form
    2,504.44/3,753.84 = 942.92/x
  3. Step 3: Cross multiply
    2,504.44x = 3,753.84 × 942.92
  4. Step 4: Simplify right side
    2,504.44x = 3,539,570.81
  5. Step 5: Solve for x
    x = 3,539,570.81/2,504.44
  6. Step 6: Final answer
    x = 1,413.32

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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.