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Finding the Fourth Proportional to 4,112.48, 6,168 and 1,191.20

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Solution

The fourth proportional to 4,112.48, 6,168 and 1,191.20 is: 1,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.48 : 6,168 = 1,191.20 : x
  2. Step 2: Convert to fraction form
    4,112.48/6,168 = 1,191.20/x
  3. Step 3: Cross multiply
    4,112.48x = 6,168 × 1,191.20
  4. Step 4: Simplify right side
    4,112.48x = 7,347,321.60
  5. Step 5: Solve for x
    x = 7,347,321.60/4,112.48
  6. Step 6: Final answer
    x = 1,786.59

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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.