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Finding the Fourth Proportional to 2,133.91, 3,201.18 and 672.73

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Solution

The fourth proportional to 2,133.91, 3,201.18 and 672.73 is: 1,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.91 : 3,201.18 = 672.73 : x
  2. Step 2: Convert to fraction form
    2,133.91/3,201.18 = 672.73/x
  3. Step 3: Cross multiply
    2,133.91x = 3,201.18 × 672.73
  4. Step 4: Simplify right side
    2,133.91x = 2,153,529.82
  5. Step 5: Solve for x
    x = 2,153,529.82/2,133.91
  6. Step 6: Final answer
    x = 1,009.19

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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.