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Finding the Fourth Proportional to 2,149.05, 3,222.84 and 1,413.78

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Solution

The fourth proportional to 2,149.05, 3,222.84 and 1,413.78 is: 2,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.05 : 3,222.84 = 1,413.78 : x
  2. Step 2: Convert to fraction form
    2,149.05/3,222.84 = 1,413.78/x
  3. Step 3: Cross multiply
    2,149.05x = 3,222.84 × 1,413.78
  4. Step 4: Simplify right side
    2,149.05x = 4,556,386.74
  5. Step 5: Solve for x
    x = 4,556,386.74/2,149.05
  6. Step 6: Final answer
    x = 2,120.19

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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.