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Finding the Fourth Proportional to 1,608.23, 2,413.83 and 993.14

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Solution

The fourth proportional to 1,608.23, 2,413.83 and 993.14 is: 1,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.23 : 2,413.83 = 993.14 : x
  2. Step 2: Convert to fraction form
    1,608.23/2,413.83 = 993.14/x
  3. Step 3: Cross multiply
    1,608.23x = 2,413.83 × 993.14
  4. Step 4: Simplify right side
    1,608.23x = 2,397,254.09
  5. Step 5: Solve for x
    x = 2,397,254.09/1,608.23
  6. Step 6: Final answer
    x = 1,490.62

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1.5x scale

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.