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Finding the Fourth Proportional to 3,016.04, 4,523.46 and 824.18

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Solution

The fourth proportional to 3,016.04, 4,523.46 and 824.18 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.04 : 4,523.46 = 824.18 : x
  2. Step 2: Convert to fraction form
    3,016.04/4,523.46 = 824.18/x
  3. Step 3: Cross multiply
    3,016.04x = 4,523.46 × 824.18
  4. Step 4: Simplify right side
    3,016.04x = 3,728,145.26
  5. Step 5: Solve for x
    x = 3,728,145.26/3,016.04
  6. Step 6: Final answer
    x = 1,236.11

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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.