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Finding the Fourth Proportional to 2,093.97, 2,889.08 and 1,650.49

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Solution

The fourth proportional to 2,093.97, 2,889.08 and 1,650.49 is: 2,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.97 : 2,889.08 = 1,650.49 : x
  2. Step 2: Convert to fraction form
    2,093.97/2,889.08 = 1,650.49/x
  3. Step 3: Cross multiply
    2,093.97x = 2,889.08 × 1,650.49
  4. Step 4: Simplify right side
    2,093.97x = 4,768,413.90
  5. Step 5: Solve for x
    x = 4,768,413.90/2,093.97
  6. Step 6: Final answer
    x = 2,277.21

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