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Finding the Fourth Proportional to 2,650.75, 3,976.13 and 1,111.75

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Solution

The fourth proportional to 2,650.75, 3,976.13 and 1,111.75 is: 1,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.75 : 3,976.13 = 1,111.75 : x
  2. Step 2: Convert to fraction form
    2,650.75/3,976.13 = 1,111.75/x
  3. Step 3: Cross multiply
    2,650.75x = 3,976.13 × 1,111.75
  4. Step 4: Simplify right side
    2,650.75x = 4,420,462.53
  5. Step 5: Solve for x
    x = 4,420,462.53/2,650.75
  6. Step 6: Final answer
    x = 1,667.63

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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.