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Finding the Fourth Proportional to 2,704.44, 4,056.81 and 1,318.96

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Solution

The fourth proportional to 2,704.44, 4,056.81 and 1,318.96 is: 1,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.44 : 4,056.81 = 1,318.96 : x
  2. Step 2: Convert to fraction form
    2,704.44/4,056.81 = 1,318.96/x
  3. Step 3: Cross multiply
    2,704.44x = 4,056.81 × 1,318.96
  4. Step 4: Simplify right side
    2,704.44x = 5,350,762.54
  5. Step 5: Solve for x
    x = 5,350,762.54/2,704.44
  6. Step 6: Final answer
    x = 1,978.51

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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.