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Finding the Fourth Proportional to 2,763.21, 4,144.19 and 788.80

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Solution

The fourth proportional to 2,763.21, 4,144.19 and 788.80 is: 1,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.21 : 4,144.19 = 788.80 : x
  2. Step 2: Convert to fraction form
    2,763.21/4,144.19 = 788.80/x
  3. Step 3: Cross multiply
    2,763.21x = 4,144.19 × 788.80
  4. Step 4: Simplify right side
    2,763.21x = 3,268,937.07
  5. Step 5: Solve for x
    x = 3,268,937.07/2,763.21
  6. Step 6: Final answer
    x = 1,183.02

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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.