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Finding the Fourth Proportional to 2,954.23, 4,431.31 and 762.94

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Solution

The fourth proportional to 2,954.23, 4,431.31 and 762.94 is: 1,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.23 : 4,431.31 = 762.94 : x
  2. Step 2: Convert to fraction form
    2,954.23/4,431.31 = 762.94/x
  3. Step 3: Cross multiply
    2,954.23x = 4,431.31 × 762.94
  4. Step 4: Simplify right side
    2,954.23x = 3,380,823.65
  5. Step 5: Solve for x
    x = 3,380,823.65/2,954.23
  6. Step 6: Final answer
    x = 1,144.40

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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.