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Finding the Fourth Proportional to 3,194.54, 4,408.18 and 1,778.18

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Solution

The fourth proportional to 3,194.54, 4,408.18 and 1,778.18 is: 2,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.54 : 4,408.18 = 1,778.18 : x
  2. Step 2: Convert to fraction form
    3,194.54/4,408.18 = 1,778.18/x
  3. Step 3: Cross multiply
    3,194.54x = 4,408.18 × 1,778.18
  4. Step 4: Simplify right side
    3,194.54x = 7,838,537.51
  5. Step 5: Solve for x
    x = 7,838,537.51/3,194.54
  6. Step 6: Final answer
    x = 2,453.73

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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.