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Finding the Fourth Proportional to 2,589.58, 3,878.97 and 2,149.75

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Solution

The fourth proportional to 2,589.58, 3,878.97 and 2,149.75 is: 3,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.58 : 3,878.97 = 2,149.75 : x
  2. Step 2: Convert to fraction form
    2,589.58/3,878.97 = 2,149.75/x
  3. Step 3: Cross multiply
    2,589.58x = 3,878.97 × 2,149.75
  4. Step 4: Simplify right side
    2,589.58x = 8,338,815.76
  5. Step 5: Solve for x
    x = 8,338,815.76/2,589.58
  6. Step 6: Final answer
    x = 3,220.14

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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.