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Finding the Fourth Proportional to 2,383.44, 3,575.12 and 1,446.61

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Solution

The fourth proportional to 2,383.44, 3,575.12 and 1,446.61 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.44 : 3,575.12 = 1,446.61 : x
  2. Step 2: Convert to fraction form
    2,383.44/3,575.12 = 1,446.61/x
  3. Step 3: Cross multiply
    2,383.44x = 3,575.12 × 1,446.61
  4. Step 4: Simplify right side
    2,383.44x = 5,171,786.47
  5. Step 5: Solve for x
    x = 5,171,786.47/2,383.44
  6. Step 6: Final answer
    x = 2,169.88

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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.