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Finding the Fourth Proportional to 3,018.44, 4,527.66 and 827.18

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Solution

The fourth proportional to 3,018.44, 4,527.66 and 827.18 is: 1,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.44 : 4,527.66 = 827.18 : x
  2. Step 2: Convert to fraction form
    3,018.44/4,527.66 = 827.18/x
  3. Step 3: Cross multiply
    3,018.44x = 4,527.66 × 827.18
  4. Step 4: Simplify right side
    3,018.44x = 3,745,189.80
  5. Step 5: Solve for x
    x = 3,745,189.80/3,018.44
  6. Step 6: Final answer
    x = 1,240.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.