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Finding the Fourth Proportional to 2,414.09, 3,619.36 and 769.69

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Solution

The fourth proportional to 2,414.09, 3,619.36 and 769.69 is: 1,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.09 : 3,619.36 = 769.69 : x
  2. Step 2: Convert to fraction form
    2,414.09/3,619.36 = 769.69/x
  3. Step 3: Cross multiply
    2,414.09x = 3,619.36 × 769.69
  4. Step 4: Simplify right side
    2,414.09x = 2,785,785.20
  5. Step 5: Solve for x
    x = 2,785,785.20/2,414.09
  6. Step 6: Final answer
    x = 1,153.97

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1.5x scale

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.