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Finding the Fourth Proportional to 2,592.80, 3,578.09 and 1,413.87

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Solution

The fourth proportional to 2,592.80, 3,578.09 and 1,413.87 is: 1,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.80 : 3,578.09 = 1,413.87 : x
  2. Step 2: Convert to fraction form
    2,592.80/3,578.09 = 1,413.87/x
  3. Step 3: Cross multiply
    2,592.80x = 3,578.09 × 1,413.87
  4. Step 4: Simplify right side
    2,592.80x = 5,058,947.04
  5. Step 5: Solve for x
    x = 5,058,947.04/2,592.80
  6. Step 6: Final answer
    x = 1,951.16

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Why These Related Problems?

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