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Finding the Fourth Proportional to 1,998.64, 3,012.67 and 1,832.26

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Solution

The fourth proportional to 1,998.64, 3,012.67 and 1,832.26 is: 2,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.64 : 3,012.67 = 1,832.26 : x
  2. Step 2: Convert to fraction form
    1,998.64/3,012.67 = 1,832.26/x
  3. Step 3: Cross multiply
    1,998.64x = 3,012.67 × 1,832.26
  4. Step 4: Simplify right side
    1,998.64x = 5,519,994.73
  5. Step 5: Solve for x
    x = 5,519,994.73/1,998.64
  6. Step 6: Final answer
    x = 2,761.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.