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Finding the Fourth Proportional to 2,584.96, 3,878.04 and 1,352.27

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Solution

The fourth proportional to 2,584.96, 3,878.04 and 1,352.27 is: 2,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.96 : 3,878.04 = 1,352.27 : x
  2. Step 2: Convert to fraction form
    2,584.96/3,878.04 = 1,352.27/x
  3. Step 3: Cross multiply
    2,584.96x = 3,878.04 × 1,352.27
  4. Step 4: Simplify right side
    2,584.96x = 5,244,157.15
  5. Step 5: Solve for x
    x = 5,244,157.15/2,584.96
  6. Step 6: Final answer
    x = 2,028.72

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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.