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Finding the Fourth Proportional to 1,974.11, 2,961.57 and 741.51

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Solution

The fourth proportional to 1,974.11, 2,961.57 and 741.51 is: 1,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.11 : 2,961.57 = 741.51 : x
  2. Step 2: Convert to fraction form
    1,974.11/2,961.57 = 741.51/x
  3. Step 3: Cross multiply
    1,974.11x = 2,961.57 × 741.51
  4. Step 4: Simplify right side
    1,974.11x = 2,196,033.77
  5. Step 5: Solve for x
    x = 2,196,033.77/1,974.11
  6. Step 6: Final answer
    x = 1,112.42

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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.