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Finding the Fourth Proportional to 2,728.72, 4,096.83 and 1,413.40

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Solution

The fourth proportional to 2,728.72, 4,096.83 and 1,413.40 is: 2,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.72 : 4,096.83 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,728.72/4,096.83 = 1,413.40/x
  3. Step 3: Cross multiply
    2,728.72x = 4,096.83 × 1,413.40
  4. Step 4: Simplify right side
    2,728.72x = 5,790,459.52
  5. Step 5: Solve for x
    x = 5,790,459.52/2,728.72
  6. Step 6: Final answer
    x = 2,122.04

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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.