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Finding the Fourth Proportional to 2,736.60, 4,104.90 and 788.81

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Solution

The fourth proportional to 2,736.60, 4,104.90 and 788.81 is: 1,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.60 : 4,104.90 = 788.81 : x
  2. Step 2: Convert to fraction form
    2,736.60/4,104.90 = 788.81/x
  3. Step 3: Cross multiply
    2,736.60x = 4,104.90 × 788.81
  4. Step 4: Simplify right side
    2,736.60x = 3,237,965.64
  5. Step 5: Solve for x
    x = 3,237,965.64/2,736.60
  6. Step 6: Final answer
    x = 1,183.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.