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Finding the Fourth Proportional to 2,733.45, 4,093.64 and 1,413.65

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Solution

The fourth proportional to 2,733.45, 4,093.64 and 1,413.65 is: 2,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.45 : 4,093.64 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    2,733.45/4,093.64 = 1,413.65/x
  3. Step 3: Cross multiply
    2,733.45x = 4,093.64 × 1,413.65
  4. Step 4: Simplify right side
    2,733.45x = 5,786,982.65
  5. Step 5: Solve for x
    x = 5,786,982.65/2,733.45
  6. Step 6: Final answer
    x = 2,117.10

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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.