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Finding the Fourth Proportional to 1,974.33, 2,961.59 and 741.33

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Solution

The fourth proportional to 1,974.33, 2,961.59 and 741.33 is: 1,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.33 : 2,961.59 = 741.33 : x
  2. Step 2: Convert to fraction form
    1,974.33/2,961.59 = 741.33/x
  3. Step 3: Cross multiply
    1,974.33x = 2,961.59 × 741.33
  4. Step 4: Simplify right side
    1,974.33x = 2,195,511.81
  5. Step 5: Solve for x
    x = 2,195,511.81/1,974.33
  6. Step 6: Final answer
    x = 1,112.03

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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.