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Finding the Fourth Proportional to 2,568.28, 3,852.42 and 620.49

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Solution

The fourth proportional to 2,568.28, 3,852.42 and 620.49 is: 930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.28 : 3,852.42 = 620.49 : x
  2. Step 2: Convert to fraction form
    2,568.28/3,852.42 = 620.49/x
  3. Step 3: Cross multiply
    2,568.28x = 3,852.42 × 620.49
  4. Step 4: Simplify right side
    2,568.28x = 2,390,371.31
  5. Step 5: Solve for x
    x = 2,390,371.31/2,568.28
  6. Step 6: Final answer
    x = 930.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.