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Finding the Fourth Proportional to 3,069.43, 4,602.02 and 1,609.61

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Solution

The fourth proportional to 3,069.43, 4,602.02 and 1,609.61 is: 2,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.43 : 4,602.02 = 1,609.61 : x
  2. Step 2: Convert to fraction form
    3,069.43/4,602.02 = 1,609.61/x
  3. Step 3: Cross multiply
    3,069.43x = 4,602.02 × 1,609.61
  4. Step 4: Simplify right side
    3,069.43x = 7,407,426.35
  5. Step 5: Solve for x
    x = 7,407,426.35/3,069.43
  6. Step 6: Final answer
    x = 2,413.29

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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.