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Finding the Fourth Proportional to 3,096.28, 4,644.19 and 1,016.25

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Solution

The fourth proportional to 3,096.28, 4,644.19 and 1,016.25 is: 1,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.28 : 4,644.19 = 1,016.25 : x
  2. Step 2: Convert to fraction form
    3,096.28/4,644.19 = 1,016.25/x
  3. Step 3: Cross multiply
    3,096.28x = 4,644.19 × 1,016.25
  4. Step 4: Simplify right side
    3,096.28x = 4,719,636.23
  5. Step 5: Solve for x
    x = 4,719,636.23/3,096.28
  6. Step 6: Final answer
    x = 1,524.29

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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.