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Finding the Fourth Proportional to 3,096.27, 4,644.74 and 905.01

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Solution

The fourth proportional to 3,096.27, 4,644.74 and 905.01 is: 1,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.27 : 4,644.74 = 905.01 : x
  2. Step 2: Convert to fraction form
    3,096.27/4,644.74 = 905.01/x
  3. Step 3: Cross multiply
    3,096.27x = 4,644.74 × 905.01
  4. Step 4: Simplify right side
    3,096.27x = 4,203,531.62
  5. Step 5: Solve for x
    x = 4,203,531.62/3,096.27
  6. Step 6: Final answer
    x = 1,357.61

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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.