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Finding the Fourth Proportional to 1,889, 2,834.22 and 734.84

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Solution

The fourth proportional to 1,889, 2,834.22 and 734.84 is: 1,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889 : 2,834.22 = 734.84 : x
  2. Step 2: Convert to fraction form
    1,889/2,834.22 = 734.84/x
  3. Step 3: Cross multiply
    1,889x = 2,834.22 × 734.84
  4. Step 4: Simplify right side
    1,889x = 2,082,698.22
  5. Step 5: Solve for x
    x = 2,082,698.22/1,889
  6. Step 6: Final answer
    x = 1,102.54

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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.