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Finding the Fourth Proportional to 2,744.52, 3,786.48 and 1,905

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Solution

The fourth proportional to 2,744.52, 3,786.48 and 1,905 is: 2,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.52 : 3,786.48 = 1,905 : x
  2. Step 2: Convert to fraction form
    2,744.52/3,786.48 = 1,905/x
  3. Step 3: Cross multiply
    2,744.52x = 3,786.48 × 1,905
  4. Step 4: Simplify right side
    2,744.52x = 7,213,244.40
  5. Step 5: Solve for x
    x = 7,213,244.40/2,744.52
  6. Step 6: Final answer
    x = 2,628.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.