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Finding the Fourth Proportional to 2,838.36, 4,255.22 and 1,277.54

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Solution

The fourth proportional to 2,838.36, 4,255.22 and 1,277.54 is: 1,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.36 : 4,255.22 = 1,277.54 : x
  2. Step 2: Convert to fraction form
    2,838.36/4,255.22 = 1,277.54/x
  3. Step 3: Cross multiply
    2,838.36x = 4,255.22 × 1,277.54
  4. Step 4: Simplify right side
    2,838.36x = 5,436,213.76
  5. Step 5: Solve for x
    x = 5,436,213.76/2,838.36
  6. Step 6: Final answer
    x = 1,915.27

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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.