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Finding the Fourth Proportional to 1,692.42, 2,536.26 and 765.71

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Solution

The fourth proportional to 1,692.42, 2,536.26 and 765.71 is: 1,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.42 : 2,536.26 = 765.71 : x
  2. Step 2: Convert to fraction form
    1,692.42/2,536.26 = 765.71/x
  3. Step 3: Cross multiply
    1,692.42x = 2,536.26 × 765.71
  4. Step 4: Simplify right side
    1,692.42x = 1,942,039.64
  5. Step 5: Solve for x
    x = 1,942,039.64/1,692.42
  6. Step 6: Final answer
    x = 1,147.49

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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.