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Finding the Fourth Proportional to 3,019.16, 4,527.99 and 827.78

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Solution

The fourth proportional to 3,019.16, 4,527.99 and 827.78 is: 1,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.16 : 4,527.99 = 827.78 : x
  2. Step 2: Convert to fraction form
    3,019.16/4,527.99 = 827.78/x
  3. Step 3: Cross multiply
    3,019.16x = 4,527.99 × 827.78
  4. Step 4: Simplify right side
    3,019.16x = 3,748,179.56
  5. Step 5: Solve for x
    x = 3,748,179.56/3,019.16
  6. Step 6: Final answer
    x = 1,241.46

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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.