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Finding the Fourth Proportional to 1,958.11, 2,936.41 and 641.54

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Solution

The fourth proportional to 1,958.11, 2,936.41 and 641.54 is: 962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.11 : 2,936.41 = 641.54 : x
  2. Step 2: Convert to fraction form
    1,958.11/2,936.41 = 641.54/x
  3. Step 3: Cross multiply
    1,958.11x = 2,936.41 × 641.54
  4. Step 4: Simplify right side
    1,958.11x = 1,883,830.21
  5. Step 5: Solve for x
    x = 1,883,830.21/1,958.11
  6. Step 6: Final answer
    x = 962.07

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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.