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Finding the Fourth Proportional to 1,836.14, 2,755.24 and 741.28

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Solution

The fourth proportional to 1,836.14, 2,755.24 and 741.28 is: 1,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.14 : 2,755.24 = 741.28 : x
  2. Step 2: Convert to fraction form
    1,836.14/2,755.24 = 741.28/x
  3. Step 3: Cross multiply
    1,836.14x = 2,755.24 × 741.28
  4. Step 4: Simplify right side
    1,836.14x = 2,042,404.31
  5. Step 5: Solve for x
    x = 2,042,404.31/1,836.14
  6. Step 6: Final answer
    x = 1,112.34

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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.