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Finding the Fourth Proportional to 2,627.78, 3,628.03 and 1,634.41

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Solution

The fourth proportional to 2,627.78, 3,628.03 and 1,634.41 is: 2,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.78 : 3,628.03 = 1,634.41 : x
  2. Step 2: Convert to fraction form
    2,627.78/3,628.03 = 1,634.41/x
  3. Step 3: Cross multiply
    2,627.78x = 3,628.03 × 1,634.41
  4. Step 4: Simplify right side
    2,627.78x = 5,929,680.34
  5. Step 5: Solve for x
    x = 5,929,680.34/2,627.78
  6. Step 6: Final answer
    x = 2,256.54

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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.