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Finding the Fourth Proportional to 1,974.77, 2,961.85 and 675.94

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Solution

The fourth proportional to 1,974.77, 2,961.85 and 675.94 is: 1,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.77 : 2,961.85 = 675.94 : x
  2. Step 2: Convert to fraction form
    1,974.77/2,961.85 = 675.94/x
  3. Step 3: Cross multiply
    1,974.77x = 2,961.85 × 675.94
  4. Step 4: Simplify right side
    1,974.77x = 2,002,032.89
  5. Step 5: Solve for x
    x = 2,002,032.89/1,974.77
  6. Step 6: Final answer
    x = 1,013.81

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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.