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Finding the Fourth Proportional to 2,757.83, 3,801.38 and 2,159.31

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Solution

The fourth proportional to 2,757.83, 3,801.38 and 2,159.31 is: 2,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.83 : 3,801.38 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    2,757.83/3,801.38 = 2,159.31/x
  3. Step 3: Cross multiply
    2,757.83x = 3,801.38 × 2,159.31
  4. Step 4: Simplify right side
    2,757.83x = 8,208,347.05
  5. Step 5: Solve for x
    x = 8,208,347.05/2,757.83
  6. Step 6: Final answer
    x = 2,976.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.