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Finding the Fourth Proportional to 2,801.98, 4,197.23 and 1,413.37

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Solution

The fourth proportional to 2,801.98, 4,197.23 and 1,413.37 is: 2,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.98 : 4,197.23 = 1,413.37 : x
  2. Step 2: Convert to fraction form
    2,801.98/4,197.23 = 1,413.37/x
  3. Step 3: Cross multiply
    2,801.98x = 4,197.23 × 1,413.37
  4. Step 4: Simplify right side
    2,801.98x = 5,932,238.97
  5. Step 5: Solve for x
    x = 5,932,238.97/2,801.98
  6. Step 6: Final answer
    x = 2,117.16

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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.