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Finding the Fourth Proportional to 2,826.39, 4,241.21 and 1,578.03

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Solution

The fourth proportional to 2,826.39, 4,241.21 and 1,578.03 is: 2,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.39 : 4,241.21 = 1,578.03 : x
  2. Step 2: Convert to fraction form
    2,826.39/4,241.21 = 1,578.03/x
  3. Step 3: Cross multiply
    2,826.39x = 4,241.21 × 1,578.03
  4. Step 4: Simplify right side
    2,826.39x = 6,692,748.73
  5. Step 5: Solve for x
    x = 6,692,748.73/2,826.39
  6. Step 6: Final answer
    x = 2,367.95

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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.