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Finding the Fourth Proportional to 1,797.14, 2,692.47 and 755.28

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Solution

The fourth proportional to 1,797.14, 2,692.47 and 755.28 is: 1,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.14 : 2,692.47 = 755.28 : x
  2. Step 2: Convert to fraction form
    1,797.14/2,692.47 = 755.28/x
  3. Step 3: Cross multiply
    1,797.14x = 2,692.47 × 755.28
  4. Step 4: Simplify right side
    1,797.14x = 2,033,568.74
  5. Step 5: Solve for x
    x = 2,033,568.74/1,797.14
  6. Step 6: Final answer
    x = 1,131.56

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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.