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Finding the Fourth Proportional to 2,757.42, 4,136.83 and 809.63

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Solution

The fourth proportional to 2,757.42, 4,136.83 and 809.63 is: 1,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.42 : 4,136.83 = 809.63 : x
  2. Step 2: Convert to fraction form
    2,757.42/4,136.83 = 809.63/x
  3. Step 3: Cross multiply
    2,757.42x = 4,136.83 × 809.63
  4. Step 4: Simplify right side
    2,757.42x = 3,349,276.94
  5. Step 5: Solve for x
    x = 3,349,276.94/2,757.42
  6. Step 6: Final answer
    x = 1,214.64

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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.