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Finding the Fourth Proportional to 2,786, 4,179.24 and 734

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Solution

The fourth proportional to 2,786, 4,179.24 and 734 is: 1,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786 : 4,179.24 = 734 : x
  2. Step 2: Convert to fraction form
    2,786/4,179.24 = 734/x
  3. Step 3: Cross multiply
    2,786x = 4,179.24 × 734
  4. Step 4: Simplify right side
    2,786x = 3,067,562.16
  5. Step 5: Solve for x
    x = 3,067,562.16/2,786
  6. Step 6: Final answer
    x = 1,101.06

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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.