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Finding the Fourth Proportional to 3,199.96, 4,799.94 and 1,831

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Solution

The fourth proportional to 3,199.96, 4,799.94 and 1,831 is: 2,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.96 : 4,799.94 = 1,831 : x
  2. Step 2: Convert to fraction form
    3,199.96/4,799.94 = 1,831/x
  3. Step 3: Cross multiply
    3,199.96x = 4,799.94 × 1,831
  4. Step 4: Simplify right side
    3,199.96x = 8,788,690.14
  5. Step 5: Solve for x
    x = 8,788,690.14/3,199.96
  6. Step 6: Final answer
    x = 2,746.50

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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.