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Finding the Fourth Proportional to 4,662.16, 6,993.24 and 1,199.68

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Solution

The fourth proportional to 4,662.16, 6,993.24 and 1,199.68 is: 1,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.16 : 6,993.24 = 1,199.68 : x
  2. Step 2: Convert to fraction form
    4,662.16/6,993.24 = 1,199.68/x
  3. Step 3: Cross multiply
    4,662.16x = 6,993.24 × 1,199.68
  4. Step 4: Simplify right side
    4,662.16x = 8,389,650.16
  5. Step 5: Solve for x
    x = 8,389,650.16/4,662.16
  6. Step 6: Final answer
    x = 1,799.52

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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.