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Finding the Fourth Proportional to 3,093.67, 4,268.53 and 1,749.31

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Solution

The fourth proportional to 3,093.67, 4,268.53 and 1,749.31 is: 2,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.67 : 4,268.53 = 1,749.31 : x
  2. Step 2: Convert to fraction form
    3,093.67/4,268.53 = 1,749.31/x
  3. Step 3: Cross multiply
    3,093.67x = 4,268.53 × 1,749.31
  4. Step 4: Simplify right side
    3,093.67x = 7,466,973.73
  5. Step 5: Solve for x
    x = 7,466,973.73/3,093.67
  6. Step 6: Final answer
    x = 2,413.63

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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.