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Finding the Fourth Proportional to 3,019.20, 4,528.76 and 827.94

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Solution

The fourth proportional to 3,019.20, 4,528.76 and 827.94 is: 1,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.20 : 4,528.76 = 827.94 : x
  2. Step 2: Convert to fraction form
    3,019.20/4,528.76 = 827.94/x
  3. Step 3: Cross multiply
    3,019.20x = 4,528.76 × 827.94
  4. Step 4: Simplify right side
    3,019.20x = 3,749,541.55
  5. Step 5: Solve for x
    x = 3,749,541.55/3,019.20
  6. Step 6: Final answer
    x = 1,241.90

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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.