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Finding the Fourth Proportional to 2,592.73, 3,578.04 and 1,413.82

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Solution

The fourth proportional to 2,592.73, 3,578.04 and 1,413.82 is: 1,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.73 : 3,578.04 = 1,413.82 : x
  2. Step 2: Convert to fraction form
    2,592.73/3,578.04 = 1,413.82/x
  3. Step 3: Cross multiply
    2,592.73x = 3,578.04 × 1,413.82
  4. Step 4: Simplify right side
    2,592.73x = 5,058,704.51
  5. Step 5: Solve for x
    x = 5,058,704.51/2,592.73
  6. Step 6: Final answer
    x = 1,951.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.