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Finding the Fourth Proportional to 2,736.37, 4,104.15 and 788.32

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Solution

The fourth proportional to 2,736.37, 4,104.15 and 788.32 is: 1,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.37 : 4,104.15 = 788.32 : x
  2. Step 2: Convert to fraction form
    2,736.37/4,104.15 = 788.32/x
  3. Step 3: Cross multiply
    2,736.37x = 4,104.15 × 788.32
  4. Step 4: Simplify right side
    2,736.37x = 3,235,383.53
  5. Step 5: Solve for x
    x = 3,235,383.53/2,736.37
  6. Step 6: Final answer
    x = 1,182.36

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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.