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Finding the Fourth Proportional to 1,974.81, 2,961.59 and 804.81

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Solution

The fourth proportional to 1,974.81, 2,961.59 and 804.81 is: 1,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.81 : 2,961.59 = 804.81 : x
  2. Step 2: Convert to fraction form
    1,974.81/2,961.59 = 804.81/x
  3. Step 3: Cross multiply
    1,974.81x = 2,961.59 × 804.81
  4. Step 4: Simplify right side
    1,974.81x = 2,383,513.22
  5. Step 5: Solve for x
    x = 2,383,513.22/1,974.81
  6. Step 6: Final answer
    x = 1,206.96

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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.