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Finding the Fourth Proportional to 2,096.40, 3,144.61 and 635.56

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Solution

The fourth proportional to 2,096.40, 3,144.61 and 635.56 is: 953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.40 : 3,144.61 = 635.56 : x
  2. Step 2: Convert to fraction form
    2,096.40/3,144.61 = 635.56/x
  3. Step 3: Cross multiply
    2,096.40x = 3,144.61 × 635.56
  4. Step 4: Simplify right side
    2,096.40x = 1,998,595.38
  5. Step 5: Solve for x
    x = 1,998,595.38/2,096.40
  6. Step 6: Final answer
    x = 953.35

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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.