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Finding the Fourth Proportional to 2,224.64, 3,069.82 and 1,280.38

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Solution

The fourth proportional to 2,224.64, 3,069.82 and 1,280.38 is: 1,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.64 : 3,069.82 = 1,280.38 : x
  2. Step 2: Convert to fraction form
    2,224.64/3,069.82 = 1,280.38/x
  3. Step 3: Cross multiply
    2,224.64x = 3,069.82 × 1,280.38
  4. Step 4: Simplify right side
    2,224.64x = 3,930,536.13
  5. Step 5: Solve for x
    x = 3,930,536.13/2,224.64
  6. Step 6: Final answer
    x = 1,766.82

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Why These Related Problems?

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