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Finding the Fourth Proportional to 2,414.27, 3,621.74 and 770.26

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Solution

The fourth proportional to 2,414.27, 3,621.74 and 770.26 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.27 : 3,621.74 = 770.26 : x
  2. Step 2: Convert to fraction form
    2,414.27/3,621.74 = 770.26/x
  3. Step 3: Cross multiply
    2,414.27x = 3,621.74 × 770.26
  4. Step 4: Simplify right side
    2,414.27x = 2,789,659.49
  5. Step 5: Solve for x
    x = 2,789,659.49/2,414.27
  6. Step 6: Final answer
    x = 1,155.49

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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.