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Finding the Fourth Proportional to 1,958.77, 2,912.94 and 1,897.26

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Solution

The fourth proportional to 1,958.77, 2,912.94 and 1,897.26 is: 2,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.77 : 2,912.94 = 1,897.26 : x
  2. Step 2: Convert to fraction form
    1,958.77/2,912.94 = 1,897.26/x
  3. Step 3: Cross multiply
    1,958.77x = 2,912.94 × 1,897.26
  4. Step 4: Simplify right side
    1,958.77x = 5,526,604.54
  5. Step 5: Solve for x
    x = 5,526,604.54/1,958.77
  6. Step 6: Final answer
    x = 2,821.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.