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Finding the Fourth Proportional to 1,838.17, 2,757.26 and 451.51

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Solution

The fourth proportional to 1,838.17, 2,757.26 and 451.51 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.17 : 2,757.26 = 451.51 : x
  2. Step 2: Convert to fraction form
    1,838.17/2,757.26 = 451.51/x
  3. Step 3: Cross multiply
    1,838.17x = 2,757.26 × 451.51
  4. Step 4: Simplify right side
    1,838.17x = 1,244,930.46
  5. Step 5: Solve for x
    x = 1,244,930.46/1,838.17
  6. Step 6: Final answer
    x = 677.27

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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.