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Finding the Fourth Proportional to 2,815.75, 4,224.26 and 1,276.75

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Solution

The fourth proportional to 2,815.75, 4,224.26 and 1,276.75 is: 1,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.75 : 4,224.26 = 1,276.75 : x
  2. Step 2: Convert to fraction form
    2,815.75/4,224.26 = 1,276.75/x
  3. Step 3: Cross multiply
    2,815.75x = 4,224.26 × 1,276.75
  4. Step 4: Simplify right side
    2,815.75x = 5,393,323.96
  5. Step 5: Solve for x
    x = 5,393,323.96/2,815.75
  6. Step 6: Final answer
    x = 1,915.41

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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.