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Finding the Fourth Proportional to 1,767.73, 2,651.97 and 672.11

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Solution

The fourth proportional to 1,767.73, 2,651.97 and 672.11 is: 1,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.73 : 2,651.97 = 672.11 : x
  2. Step 2: Convert to fraction form
    1,767.73/2,651.97 = 672.11/x
  3. Step 3: Cross multiply
    1,767.73x = 2,651.97 × 672.11
  4. Step 4: Simplify right side
    1,767.73x = 1,782,415.56
  5. Step 5: Solve for x
    x = 1,782,415.56/1,767.73
  6. Step 6: Final answer
    x = 1,008.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.