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Finding the Fourth Proportional to 1,519.58, 2,280.27 and 789.41

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Solution

The fourth proportional to 1,519.58, 2,280.27 and 789.41 is: 1,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.58 : 2,280.27 = 789.41 : x
  2. Step 2: Convert to fraction form
    1,519.58/2,280.27 = 789.41/x
  3. Step 3: Cross multiply
    1,519.58x = 2,280.27 × 789.41
  4. Step 4: Simplify right side
    1,519.58x = 1,800,067.94
  5. Step 5: Solve for x
    x = 1,800,067.94/1,519.58
  6. Step 6: Final answer
    x = 1,184.58

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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.