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Finding the Fourth Proportional to 2,021.32, 3,033.18 and 788.86

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Solution

The fourth proportional to 2,021.32, 3,033.18 and 788.86 is: 1,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.32 : 3,033.18 = 788.86 : x
  2. Step 2: Convert to fraction form
    2,021.32/3,033.18 = 788.86/x
  3. Step 3: Cross multiply
    2,021.32x = 3,033.18 × 788.86
  4. Step 4: Simplify right side
    2,021.32x = 2,392,754.37
  5. Step 5: Solve for x
    x = 2,392,754.37/2,021.32
  6. Step 6: Final answer
    x = 1,183.76

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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.