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Finding the Fourth Proportional to 4,121.60, 6,183 and 1,199.52

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Solution

The fourth proportional to 4,121.60, 6,183 and 1,199.52 is: 1,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.60 : 6,183 = 1,199.52 : x
  2. Step 2: Convert to fraction form
    4,121.60/6,183 = 1,199.52/x
  3. Step 3: Cross multiply
    4,121.60x = 6,183 × 1,199.52
  4. Step 4: Simplify right side
    4,121.60x = 7,416,632.16
  5. Step 5: Solve for x
    x = 7,416,632.16/4,121.60
  6. Step 6: Final answer
    x = 1,799.45

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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.