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Finding the Fourth Proportional to 3,609.99, 5,413.14 and 1,660.50

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Solution

The fourth proportional to 3,609.99, 5,413.14 and 1,660.50 is: 2,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.99 : 5,413.14 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    3,609.99/5,413.14 = 1,660.50/x
  3. Step 3: Cross multiply
    3,609.99x = 5,413.14 × 1,660.50
  4. Step 4: Simplify right side
    3,609.99x = 8,988,518.97
  5. Step 5: Solve for x
    x = 8,988,518.97/3,609.99
  6. Step 6: Final answer
    x = 2,489.90

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Why These Related Problems?

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