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Finding the Fourth Proportional to 2,280.54, 3,147.48 and 1,396.20

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Solution

The fourth proportional to 2,280.54, 3,147.48 and 1,396.20 is: 1,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.54 : 3,147.48 = 1,396.20 : x
  2. Step 2: Convert to fraction form
    2,280.54/3,147.48 = 1,396.20/x
  3. Step 3: Cross multiply
    2,280.54x = 3,147.48 × 1,396.20
  4. Step 4: Simplify right side
    2,280.54x = 4,394,511.58
  5. Step 5: Solve for x
    x = 4,394,511.58/2,280.54
  6. Step 6: Final answer
    x = 1,926.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.