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Finding the Fourth Proportional to 2,412, 3,617.91 and 769.95

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Solution

The fourth proportional to 2,412, 3,617.91 and 769.95 is: 1,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412 : 3,617.91 = 769.95 : x
  2. Step 2: Convert to fraction form
    2,412/3,617.91 = 769.95/x
  3. Step 3: Cross multiply
    2,412x = 3,617.91 × 769.95
  4. Step 4: Simplify right side
    2,412x = 2,785,609.80
  5. Step 5: Solve for x
    x = 2,785,609.80/2,412
  6. Step 6: Final answer
    x = 1,154.90

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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.