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Finding the Fourth Proportional to 2,954.21, 4,431.24 and 762.80

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Solution

The fourth proportional to 2,954.21, 4,431.24 and 762.80 is: 1,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.21 : 4,431.24 = 762.80 : x
  2. Step 2: Convert to fraction form
    2,954.21/4,431.24 = 762.80/x
  3. Step 3: Cross multiply
    2,954.21x = 4,431.24 × 762.80
  4. Step 4: Simplify right side
    2,954.21x = 3,380,127.72
  5. Step 5: Solve for x
    x = 3,380,127.72/2,954.21
  6. Step 6: Final answer
    x = 1,144.18

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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.