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Finding the Fourth Proportional to 2,954.57, 4,431.84 and 733.38

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Solution

The fourth proportional to 2,954.57, 4,431.84 and 733.38 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.57 : 4,431.84 = 733.38 : x
  2. Step 2: Convert to fraction form
    2,954.57/4,431.84 = 733.38/x
  3. Step 3: Cross multiply
    2,954.57x = 4,431.84 × 733.38
  4. Step 4: Simplify right side
    2,954.57x = 3,250,222.82
  5. Step 5: Solve for x
    x = 3,250,222.82/2,954.57
  6. Step 6: Final answer
    x = 1,100.07

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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.