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Finding the Fourth Proportional to 1,609.14, 2,413.09 and 622.03

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Solution

The fourth proportional to 1,609.14, 2,413.09 and 622.03 is: 932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.14 : 2,413.09 = 622.03 : x
  2. Step 2: Convert to fraction form
    1,609.14/2,413.09 = 622.03/x
  3. Step 3: Cross multiply
    1,609.14x = 2,413.09 × 622.03
  4. Step 4: Simplify right side
    1,609.14x = 1,501,013.64
  5. Step 5: Solve for x
    x = 1,501,013.64/1,609.14
  6. Step 6: Final answer
    x = 932.80

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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.