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Finding the Fourth Proportional to 4,786.56, 7,180.92 and 1,499.64

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Solution

The fourth proportional to 4,786.56, 7,180.92 and 1,499.64 is: 2,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.56 : 7,180.92 = 1,499.64 : x
  2. Step 2: Convert to fraction form
    4,786.56/7,180.92 = 1,499.64/x
  3. Step 3: Cross multiply
    4,786.56x = 7,180.92 × 1,499.64
  4. Step 4: Simplify right side
    4,786.56x = 10,768,794.87
  5. Step 5: Solve for x
    x = 10,768,794.87/4,786.56
  6. Step 6: Final answer
    x = 2,249.80

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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.