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Finding the Fourth Proportional to 2,814.54, 4,221.82 and 734.54

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Solution

The fourth proportional to 2,814.54, 4,221.82 and 734.54 is: 1,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.54 : 4,221.82 = 734.54 : x
  2. Step 2: Convert to fraction form
    2,814.54/4,221.82 = 734.54/x
  3. Step 3: Cross multiply
    2,814.54x = 4,221.82 × 734.54
  4. Step 4: Simplify right side
    2,814.54x = 3,101,102.54
  5. Step 5: Solve for x
    x = 3,101,102.54/2,814.54
  6. Step 6: Final answer
    x = 1,101.81

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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.