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Finding the Fourth Proportional to 2,094.91, 3,141.96 and 633.67

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Solution

The fourth proportional to 2,094.91, 3,141.96 and 633.67 is: 950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.91 : 3,141.96 = 633.67 : x
  2. Step 2: Convert to fraction form
    2,094.91/3,141.96 = 633.67/x
  3. Step 3: Cross multiply
    2,094.91x = 3,141.96 × 633.67
  4. Step 4: Simplify right side
    2,094.91x = 1,990,955.56
  5. Step 5: Solve for x
    x = 1,990,955.56/2,094.91
  6. Step 6: Final answer
    x = 950.38

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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.