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Finding the Fourth Proportional to 3,018.62, 4,527.84 and 827.34

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Solution

The fourth proportional to 3,018.62, 4,527.84 and 827.34 is: 1,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.62 : 4,527.84 = 827.34 : x
  2. Step 2: Convert to fraction form
    3,018.62/4,527.84 = 827.34/x
  3. Step 3: Cross multiply
    3,018.62x = 4,527.84 × 827.34
  4. Step 4: Simplify right side
    3,018.62x = 3,746,063.15
  5. Step 5: Solve for x
    x = 3,746,063.15/3,018.62
  6. Step 6: Final answer
    x = 1,240.99

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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.