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Finding the Fourth Proportional to 2,592.96, 3,578.16 and 1,413.96

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Solution

The fourth proportional to 2,592.96, 3,578.16 and 1,413.96 is: 1,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.96 : 3,578.16 = 1,413.96 : x
  2. Step 2: Convert to fraction form
    2,592.96/3,578.16 = 1,413.96/x
  3. Step 3: Cross multiply
    2,592.96x = 3,578.16 × 1,413.96
  4. Step 4: Simplify right side
    2,592.96x = 5,059,375.11
  5. Step 5: Solve for x
    x = 5,059,375.11/2,592.96
  6. Step 6: Final answer
    x = 1,951.20

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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.