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Finding the Fourth Proportional to 2,096.96, 3,146.26 and 636.26

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Solution

The fourth proportional to 2,096.96, 3,146.26 and 636.26 is: 954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.96 : 3,146.26 = 636.26 : x
  2. Step 2: Convert to fraction form
    2,096.96/3,146.26 = 636.26/x
  3. Step 3: Cross multiply
    2,096.96x = 3,146.26 × 636.26
  4. Step 4: Simplify right side
    2,096.96x = 2,001,839.39
  5. Step 5: Solve for x
    x = 2,001,839.39/2,096.96
  6. Step 6: Final answer
    x = 954.64

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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.