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Finding the Fourth Proportional to 2,280.94, 3,147.78 and 1,396.78

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Solution

The fourth proportional to 2,280.94, 3,147.78 and 1,396.78 is: 1,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.94 : 3,147.78 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    2,280.94/3,147.78 = 1,396.78/x
  3. Step 3: Cross multiply
    2,280.94x = 3,147.78 × 1,396.78
  4. Step 4: Simplify right side
    2,280.94x = 4,396,756.15
  5. Step 5: Solve for x
    x = 4,396,756.15/2,280.94
  6. Step 6: Final answer
    x = 1,927.61

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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.