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Finding the Fourth Proportional to 1,609.07, 2,413.31 and 868.33

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Solution

The fourth proportional to 1,609.07, 2,413.31 and 868.33 is: 1,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.07 : 2,413.31 = 868.33 : x
  2. Step 2: Convert to fraction form
    1,609.07/2,413.31 = 868.33/x
  3. Step 3: Cross multiply
    1,609.07x = 2,413.31 × 868.33
  4. Step 4: Simplify right side
    1,609.07x = 2,095,545.13
  5. Step 5: Solve for x
    x = 2,095,545.13/1,609.07
  6. Step 6: Final answer
    x = 1,302.34

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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.