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Finding the Fourth Proportional to 2,056.54, 3,086.03 and 758.92

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Solution

The fourth proportional to 2,056.54, 3,086.03 and 758.92 is: 1,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.54 : 3,086.03 = 758.92 : x
  2. Step 2: Convert to fraction form
    2,056.54/3,086.03 = 758.92/x
  3. Step 3: Cross multiply
    2,056.54x = 3,086.03 × 758.92
  4. Step 4: Simplify right side
    2,056.54x = 2,342,049.89
  5. Step 5: Solve for x
    x = 2,342,049.89/2,056.54
  6. Step 6: Final answer
    x = 1,138.83

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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.