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Finding the Fourth Proportional to 2,684.75, 4,028.51 and 1,280.75

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Solution

The fourth proportional to 2,684.75, 4,028.51 and 1,280.75 is: 1,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.75 : 4,028.51 = 1,280.75 : x
  2. Step 2: Convert to fraction form
    2,684.75/4,028.51 = 1,280.75/x
  3. Step 3: Cross multiply
    2,684.75x = 4,028.51 × 1,280.75
  4. Step 4: Simplify right side
    2,684.75x = 5,159,514.18
  5. Step 5: Solve for x
    x = 5,159,514.18/2,684.75
  6. Step 6: Final answer
    x = 1,921.79

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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.