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Finding the Fourth Proportional to 3,183, 4,391.52 and 2,064.81

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Solution

The fourth proportional to 3,183, 4,391.52 and 2,064.81 is: 2,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 4,391.52 = 2,064.81 : x
  2. Step 2: Convert to fraction form
    3,183/4,391.52 = 2,064.81/x
  3. Step 3: Cross multiply
    3,183x = 4,391.52 × 2,064.81
  4. Step 4: Simplify right side
    3,183x = 9,067,654.41
  5. Step 5: Solve for x
    x = 9,067,654.41/3,183
  6. Step 6: Final answer
    x = 2,848.78

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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.