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Finding the Fourth Proportional to 2,273.36, 3,409.32 and 734

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Solution

The fourth proportional to 2,273.36, 3,409.32 and 734 is: 1,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.36 : 3,409.32 = 734 : x
  2. Step 2: Convert to fraction form
    2,273.36/3,409.32 = 734/x
  3. Step 3: Cross multiply
    2,273.36x = 3,409.32 × 734
  4. Step 4: Simplify right side
    2,273.36x = 2,502,440.88
  5. Step 5: Solve for x
    x = 2,502,440.88/2,273.36
  6. Step 6: Final answer
    x = 1,100.77

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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.