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Finding the Fourth Proportional to 2,736.48, 3,772.58 and 2,063.98

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Solution

The fourth proportional to 2,736.48, 3,772.58 and 2,063.98 is: 2,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.48 : 3,772.58 = 2,063.98 : x
  2. Step 2: Convert to fraction form
    2,736.48/3,772.58 = 2,063.98/x
  3. Step 3: Cross multiply
    2,736.48x = 3,772.58 × 2,063.98
  4. Step 4: Simplify right side
    2,736.48x = 7,786,524.06
  5. Step 5: Solve for x
    x = 7,786,524.06/2,736.48
  6. Step 6: Final answer
    x = 2,845.45

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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.