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Finding the Fourth Proportional to 3,019.14, 4,528.71 and 827.82

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Solution

The fourth proportional to 3,019.14, 4,528.71 and 827.82 is: 1,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.14 : 4,528.71 = 827.82 : x
  2. Step 2: Convert to fraction form
    3,019.14/4,528.71 = 827.82/x
  3. Step 3: Cross multiply
    3,019.14x = 4,528.71 × 827.82
  4. Step 4: Simplify right side
    3,019.14x = 3,748,956.71
  5. Step 5: Solve for x
    x = 3,748,956.71/3,019.14
  6. Step 6: Final answer
    x = 1,241.73

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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.