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Finding the Fourth Proportional to 2,453.07, 3,679.09 and 809.24

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Solution

The fourth proportional to 2,453.07, 3,679.09 and 809.24 is: 1,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.07 : 3,679.09 = 809.24 : x
  2. Step 2: Convert to fraction form
    2,453.07/3,679.09 = 809.24/x
  3. Step 3: Cross multiply
    2,453.07x = 3,679.09 × 809.24
  4. Step 4: Simplify right side
    2,453.07x = 2,977,249.41
  5. Step 5: Solve for x
    x = 2,977,249.41/2,453.07
  6. Step 6: Final answer
    x = 1,213.68

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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.