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Finding the Fourth Proportional to 2,907.79, 4,361.03 and 827.75

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Solution

The fourth proportional to 2,907.79, 4,361.03 and 827.75 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.79 : 4,361.03 = 827.75 : x
  2. Step 2: Convert to fraction form
    2,907.79/4,361.03 = 827.75/x
  3. Step 3: Cross multiply
    2,907.79x = 4,361.03 × 827.75
  4. Step 4: Simplify right side
    2,907.79x = 3,609,838.44
  5. Step 5: Solve for x
    x = 3,609,838.44/2,907.79
  6. Step 6: Final answer
    x = 1,241.44

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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.