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Finding the Fourth Proportional to 1,274.33, 1,922.97 and 1,228.57

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Solution

The fourth proportional to 1,274.33, 1,922.97 and 1,228.57 is: 1,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.33 : 1,922.97 = 1,228.57 : x
  2. Step 2: Convert to fraction form
    1,274.33/1,922.97 = 1,228.57/x
  3. Step 3: Cross multiply
    1,274.33x = 1,922.97 × 1,228.57
  4. Step 4: Simplify right side
    1,274.33x = 2,362,503.05
  5. Step 5: Solve for x
    x = 2,362,503.05/1,274.33
  6. Step 6: Final answer
    x = 1,853.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.