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Finding the Fourth Proportional to 1,827.44, 2,737.02 and 1,413.27

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Solution

The fourth proportional to 1,827.44, 2,737.02 and 1,413.27 is: 2,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.44 : 2,737.02 = 1,413.27 : x
  2. Step 2: Convert to fraction form
    1,827.44/2,737.02 = 1,413.27/x
  3. Step 3: Cross multiply
    1,827.44x = 2,737.02 × 1,413.27
  4. Step 4: Simplify right side
    1,827.44x = 3,868,149.33
  5. Step 5: Solve for x
    x = 3,868,149.33/1,827.44
  6. Step 6: Final answer
    x = 2,116.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.