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Finding the Fourth Proportional to 2,252.98, 3,107.08 and 1,413.78

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Solution

The fourth proportional to 2,252.98, 3,107.08 and 1,413.78 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.98 : 3,107.08 = 1,413.78 : x
  2. Step 2: Convert to fraction form
    2,252.98/3,107.08 = 1,413.78/x
  3. Step 3: Cross multiply
    2,252.98x = 3,107.08 × 1,413.78
  4. Step 4: Simplify right side
    2,252.98x = 4,392,727.56
  5. Step 5: Solve for x
    x = 4,392,727.56/2,252.98
  6. Step 6: Final answer
    x = 1,949.74

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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.