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Finding the Fourth Proportional to 2,413.98, 3,616.70 and 2,063.76

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Solution

The fourth proportional to 2,413.98, 3,616.70 and 2,063.76 is: 3,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.98 : 3,616.70 = 2,063.76 : x
  2. Step 2: Convert to fraction form
    2,413.98/3,616.70 = 2,063.76/x
  3. Step 3: Cross multiply
    2,413.98x = 3,616.70 × 2,063.76
  4. Step 4: Simplify right side
    2,413.98x = 7,464,000.79
  5. Step 5: Solve for x
    x = 7,464,000.79/2,413.98
  6. Step 6: Final answer
    x = 3,091.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.