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Finding the Fourth Proportional to 1,796.25, 2,692.53 and 756.84

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Solution

The fourth proportional to 1,796.25, 2,692.53 and 756.84 is: 1,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.25 : 2,692.53 = 756.84 : x
  2. Step 2: Convert to fraction form
    1,796.25/2,692.53 = 756.84/x
  3. Step 3: Cross multiply
    1,796.25x = 2,692.53 × 756.84
  4. Step 4: Simplify right side
    1,796.25x = 2,037,814.41
  5. Step 5: Solve for x
    x = 2,037,814.41/1,796.25
  6. Step 6: Final answer
    x = 1,134.48

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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.