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Finding the Fourth Proportional to 2,954.14, 4,431.16 and 762.85

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Solution

The fourth proportional to 2,954.14, 4,431.16 and 762.85 is: 1,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.14 : 4,431.16 = 762.85 : x
  2. Step 2: Convert to fraction form
    2,954.14/4,431.16 = 762.85/x
  3. Step 3: Cross multiply
    2,954.14x = 4,431.16 × 762.85
  4. Step 4: Simplify right side
    2,954.14x = 3,380,310.41
  5. Step 5: Solve for x
    x = 3,380,310.41/2,954.14
  6. Step 6: Final answer
    x = 1,144.26

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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.