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Finding the Fourth Proportional to 2,493.44, 3,739.32 and 762.32

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Solution

The fourth proportional to 2,493.44, 3,739.32 and 762.32 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.44 : 3,739.32 = 762.32 : x
  2. Step 2: Convert to fraction form
    2,493.44/3,739.32 = 762.32/x
  3. Step 3: Cross multiply
    2,493.44x = 3,739.32 × 762.32
  4. Step 4: Simplify right side
    2,493.44x = 2,850,558.42
  5. Step 5: Solve for x
    x = 2,850,558.42/2,493.44
  6. Step 6: Final answer
    x = 1,143.22

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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.