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Finding the Fourth Proportional to 2,224.84, 3,069.30 and 1,280.42

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Solution

The fourth proportional to 2,224.84, 3,069.30 and 1,280.42 is: 1,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.84 : 3,069.30 = 1,280.42 : x
  2. Step 2: Convert to fraction form
    2,224.84/3,069.30 = 1,280.42/x
  3. Step 3: Cross multiply
    2,224.84x = 3,069.30 × 1,280.42
  4. Step 4: Simplify right side
    2,224.84x = 3,929,993.11
  5. Step 5: Solve for x
    x = 3,929,993.11/2,224.84
  6. Step 6: Final answer
    x = 1,766.42

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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.