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Finding the Fourth Proportional to 1,608.44, 2,413.08 and 684.05

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Solution

The fourth proportional to 1,608.44, 2,413.08 and 684.05 is: 1,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.44 : 2,413.08 = 684.05 : x
  2. Step 2: Convert to fraction form
    1,608.44/2,413.08 = 684.05/x
  3. Step 3: Cross multiply
    1,608.44x = 2,413.08 × 684.05
  4. Step 4: Simplify right side
    1,608.44x = 1,650,667.37
  5. Step 5: Solve for x
    x = 1,650,667.37/1,608.44
  6. Step 6: Final answer
    x = 1,026.25

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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.