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Finding the Fourth Proportional to 3,151.13, 4,348.39 and 1,734.54

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Solution

The fourth proportional to 3,151.13, 4,348.39 and 1,734.54 is: 2,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.13 : 4,348.39 = 1,734.54 : x
  2. Step 2: Convert to fraction form
    3,151.13/4,348.39 = 1,734.54/x
  3. Step 3: Cross multiply
    3,151.13x = 4,348.39 × 1,734.54
  4. Step 4: Simplify right side
    3,151.13x = 7,542,436.85
  5. Step 5: Solve for x
    x = 7,542,436.85/3,151.13
  6. Step 6: Final answer
    x = 2,393.57

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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.