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Finding the Fourth Proportional to 2,964.75, 4,446.99 and 773.43

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Solution

The fourth proportional to 2,964.75, 4,446.99 and 773.43 is: 1,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.75 : 4,446.99 = 773.43 : x
  2. Step 2: Convert to fraction form
    2,964.75/4,446.99 = 773.43/x
  3. Step 3: Cross multiply
    2,964.75x = 4,446.99 × 773.43
  4. Step 4: Simplify right side
    2,964.75x = 3,439,435.48
  5. Step 5: Solve for x
    x = 3,439,435.48/2,964.75
  6. Step 6: Final answer
    x = 1,160.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.