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Finding the Fourth Proportional to 2,942.56, 4,413.06 and 862.72

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Solution

The fourth proportional to 2,942.56, 4,413.06 and 862.72 is: 1,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.56 : 4,413.06 = 862.72 : x
  2. Step 2: Convert to fraction form
    2,942.56/4,413.06 = 862.72/x
  3. Step 3: Cross multiply
    2,942.56x = 4,413.06 × 862.72
  4. Step 4: Simplify right side
    2,942.56x = 3,807,235.12
  5. Step 5: Solve for x
    x = 3,807,235.12/2,942.56
  6. Step 6: Final answer
    x = 1,293.85

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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.