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Finding the Fourth Proportional to 3,096.57, 4,644.71 and 1,016.31

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Solution

The fourth proportional to 3,096.57, 4,644.71 and 1,016.31 is: 1,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.57 : 4,644.71 = 1,016.31 : x
  2. Step 2: Convert to fraction form
    3,096.57/4,644.71 = 1,016.31/x
  3. Step 3: Cross multiply
    3,096.57x = 4,644.71 × 1,016.31
  4. Step 4: Simplify right side
    3,096.57x = 4,720,460.14
  5. Step 5: Solve for x
    x = 4,720,460.14/3,096.57
  6. Step 6: Final answer
    x = 1,524.42

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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.