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Finding the Fourth Proportional to 2,761.25, 3,810.95 and 1,768.89

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Solution

The fourth proportional to 2,761.25, 3,810.95 and 1,768.89 is: 2,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.25 : 3,810.95 = 1,768.89 : x
  2. Step 2: Convert to fraction form
    2,761.25/3,810.95 = 1,768.89/x
  3. Step 3: Cross multiply
    2,761.25x = 3,810.95 × 1,768.89
  4. Step 4: Simplify right side
    2,761.25x = 6,741,142.50
  5. Step 5: Solve for x
    x = 6,741,142.50/2,761.25
  6. Step 6: Final answer
    x = 2,441.34

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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.