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Finding the Fourth Proportional to 1,634.17, 2,451.84 and 757.09

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Solution

The fourth proportional to 1,634.17, 2,451.84 and 757.09 is: 1,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.17 : 2,451.84 = 757.09 : x
  2. Step 2: Convert to fraction form
    1,634.17/2,451.84 = 757.09/x
  3. Step 3: Cross multiply
    1,634.17x = 2,451.84 × 757.09
  4. Step 4: Simplify right side
    1,634.17x = 1,856,263.55
  5. Step 5: Solve for x
    x = 1,856,263.55/1,634.17
  6. Step 6: Final answer
    x = 1,135.91

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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.