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Finding the Fourth Proportional to 3,413.70, 4,709.67 and 2,234.70

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Solution

The fourth proportional to 3,413.70, 4,709.67 and 2,234.70 is: 3,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.70 : 4,709.67 = 2,234.70 : x
  2. Step 2: Convert to fraction form
    3,413.70/4,709.67 = 2,234.70/x
  3. Step 3: Cross multiply
    3,413.70x = 4,709.67 × 2,234.70
  4. Step 4: Simplify right side
    3,413.70x = 10,524,699.55
  5. Step 5: Solve for x
    x = 10,524,699.55/3,413.70
  6. Step 6: Final answer
    x = 3,083.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.