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Finding the Fourth Proportional to 3,019.14, 4,528.68 and 827.87

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Solution

The fourth proportional to 3,019.14, 4,528.68 and 827.87 is: 1,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.14 : 4,528.68 = 827.87 : x
  2. Step 2: Convert to fraction form
    3,019.14/4,528.68 = 827.87/x
  3. Step 3: Cross multiply
    3,019.14x = 4,528.68 × 827.87
  4. Step 4: Simplify right side
    3,019.14x = 3,749,158.31
  5. Step 5: Solve for x
    x = 3,749,158.31/3,019.14
  6. Step 6: Final answer
    x = 1,241.80

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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.