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Finding the Fourth Proportional to 2,341.78, 3,512.67 and 1,609.14

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Solution

The fourth proportional to 2,341.78, 3,512.67 and 1,609.14 is: 2,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.78 : 3,512.67 = 1,609.14 : x
  2. Step 2: Convert to fraction form
    2,341.78/3,512.67 = 1,609.14/x
  3. Step 3: Cross multiply
    2,341.78x = 3,512.67 × 1,609.14
  4. Step 4: Simplify right side
    2,341.78x = 5,652,377.80
  5. Step 5: Solve for x
    x = 5,652,377.80/2,341.78
  6. Step 6: Final answer
    x = 2,413.71

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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.