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Finding the Fourth Proportional to 3,016.14, 4,523.60 and 824.34

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Solution

The fourth proportional to 3,016.14, 4,523.60 and 824.34 is: 1,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.14 : 4,523.60 = 824.34 : x
  2. Step 2: Convert to fraction form
    3,016.14/4,523.60 = 824.34/x
  3. Step 3: Cross multiply
    3,016.14x = 4,523.60 × 824.34
  4. Step 4: Simplify right side
    3,016.14x = 3,728,984.42
  5. Step 5: Solve for x
    x = 3,728,984.42/3,016.14
  6. Step 6: Final answer
    x = 1,236.34

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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.