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Finding the Fourth Proportional to 2,096.13, 3,143.48 and 634.89

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Solution

The fourth proportional to 2,096.13, 3,143.48 and 634.89 is: 952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.13 : 3,143.48 = 634.89 : x
  2. Step 2: Convert to fraction form
    2,096.13/3,143.48 = 634.89/x
  3. Step 3: Cross multiply
    2,096.13x = 3,143.48 × 634.89
  4. Step 4: Simplify right side
    2,096.13x = 1,995,760.84
  5. Step 5: Solve for x
    x = 1,995,760.84/2,096.13
  6. Step 6: Final answer
    x = 952.12

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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.