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Finding the Fourth Proportional to 2,676.75, 3,694.10 and 1,498.20

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Solution

The fourth proportional to 2,676.75, 3,694.10 and 1,498.20 is: 2,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.75 : 3,694.10 = 1,498.20 : x
  2. Step 2: Convert to fraction form
    2,676.75/3,694.10 = 1,498.20/x
  3. Step 3: Cross multiply
    2,676.75x = 3,694.10 × 1,498.20
  4. Step 4: Simplify right side
    2,676.75x = 5,534,500.62
  5. Step 5: Solve for x
    x = 5,534,500.62/2,676.75
  6. Step 6: Final answer
    x = 2,067.62

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.