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Finding the Fourth Proportional to 1,998.10, 2,997.29 and 1,266.67

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Solution

The fourth proportional to 1,998.10, 2,997.29 and 1,266.67 is: 1,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.10 : 2,997.29 = 1,266.67 : x
  2. Step 2: Convert to fraction form
    1,998.10/2,997.29 = 1,266.67/x
  3. Step 3: Cross multiply
    1,998.10x = 2,997.29 × 1,266.67
  4. Step 4: Simplify right side
    1,998.10x = 3,796,577.32
  5. Step 5: Solve for x
    x = 3,796,577.32/1,998.10
  6. Step 6: Final answer
    x = 1,900.09

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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.