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Finding the Fourth Proportional to 2,651.75, 3,977.63 and 827.75

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Solution

The fourth proportional to 2,651.75, 3,977.63 and 827.75 is: 1,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.75 : 3,977.63 = 827.75 : x
  2. Step 2: Convert to fraction form
    2,651.75/3,977.63 = 827.75/x
  3. Step 3: Cross multiply
    2,651.75x = 3,977.63 × 827.75
  4. Step 4: Simplify right side
    2,651.75x = 3,292,483.23
  5. Step 5: Solve for x
    x = 3,292,483.23/2,651.75
  6. Step 6: Final answer
    x = 1,241.63

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Half scale
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Double scale
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Similar ratio
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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.