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Finding the Fourth Proportional to 3,019.03, 4,527.72 and 827.24

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Solution

The fourth proportional to 3,019.03, 4,527.72 and 827.24 is: 1,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.03 : 4,527.72 = 827.24 : x
  2. Step 2: Convert to fraction form
    3,019.03/4,527.72 = 827.24/x
  3. Step 3: Cross multiply
    3,019.03x = 4,527.72 × 827.24
  4. Step 4: Simplify right side
    3,019.03x = 3,745,488.45
  5. Step 5: Solve for x
    x = 3,745,488.45/3,019.03
  6. Step 6: Final answer
    x = 1,240.63

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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.