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Finding the Fourth Proportional to 4,272.40, 6,408.60 and 1,194.40

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Solution

The fourth proportional to 4,272.40, 6,408.60 and 1,194.40 is: 1,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.40 : 6,408.60 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    4,272.40/6,408.60 = 1,194.40/x
  3. Step 3: Cross multiply
    4,272.40x = 6,408.60 × 1,194.40
  4. Step 4: Simplify right side
    4,272.40x = 7,654,431.84
  5. Step 5: Solve for x
    x = 7,654,431.84/4,272.40
  6. Step 6: Final answer
    x = 1,791.60

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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.