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Finding the Fourth Proportional to 2,786.73, 3,845.73 and 1,527.78

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Solution

The fourth proportional to 2,786.73, 3,845.73 and 1,527.78 is: 2,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.73 : 3,845.73 = 1,527.78 : x
  2. Step 2: Convert to fraction form
    2,786.73/3,845.73 = 1,527.78/x
  3. Step 3: Cross multiply
    2,786.73x = 3,845.73 × 1,527.78
  4. Step 4: Simplify right side
    2,786.73x = 5,875,429.38
  5. Step 5: Solve for x
    x = 5,875,429.38/2,786.73
  6. Step 6: Final answer
    x = 2,108.36

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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.