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Finding the Fourth Proportional to 4,115.90, 6,174.86 and 1,194.16

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Solution

The fourth proportional to 4,115.90, 6,174.86 and 1,194.16 is: 1,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.90 : 6,174.86 = 1,194.16 : x
  2. Step 2: Convert to fraction form
    4,115.90/6,174.86 = 1,194.16/x
  3. Step 3: Cross multiply
    4,115.90x = 6,174.86 × 1,194.16
  4. Step 4: Simplify right side
    4,115.90x = 7,373,749.41
  5. Step 5: Solve for x
    x = 7,373,749.41/4,115.90
  6. Step 6: Final answer
    x = 1,791.53

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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.