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Finding the Fourth Proportional to 2,949.13, 4,423.86 and 757.88

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Solution

The fourth proportional to 2,949.13, 4,423.86 and 757.88 is: 1,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.13 : 4,423.86 = 757.88 : x
  2. Step 2: Convert to fraction form
    2,949.13/4,423.86 = 757.88/x
  3. Step 3: Cross multiply
    2,949.13x = 4,423.86 × 757.88
  4. Step 4: Simplify right side
    2,949.13x = 3,352,755.02
  5. Step 5: Solve for x
    x = 3,352,755.02/2,949.13
  6. Step 6: Final answer
    x = 1,136.86

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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.