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Finding the Fourth Proportional to 2,005.91, 2,765.34 and 1,729.08

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Solution

The fourth proportional to 2,005.91, 2,765.34 and 1,729.08 is: 2,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.91 : 2,765.34 = 1,729.08 : x
  2. Step 2: Convert to fraction form
    2,005.91/2,765.34 = 1,729.08/x
  3. Step 3: Cross multiply
    2,005.91x = 2,765.34 × 1,729.08
  4. Step 4: Simplify right side
    2,005.91x = 4,781,494.09
  5. Step 5: Solve for x
    x = 4,781,494.09/2,005.91
  6. Step 6: Final answer
    x = 2,383.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.