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Finding the Fourth Proportional to 2,592.62, 3,577.76 and 1,413.70

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Solution

The fourth proportional to 2,592.62, 3,577.76 and 1,413.70 is: 1,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.62 : 3,577.76 = 1,413.70 : x
  2. Step 2: Convert to fraction form
    2,592.62/3,577.76 = 1,413.70/x
  3. Step 3: Cross multiply
    2,592.62x = 3,577.76 × 1,413.70
  4. Step 4: Simplify right side
    2,592.62x = 5,057,863.30
  5. Step 5: Solve for x
    x = 5,057,863.30/2,592.62
  6. Step 6: Final answer
    x = 1,950.87

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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.