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Finding the Fourth Proportional to 2,270.52, 3,133.62 and 1,682.73

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Solution

The fourth proportional to 2,270.52, 3,133.62 and 1,682.73 is: 2,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.52 : 3,133.62 = 1,682.73 : x
  2. Step 2: Convert to fraction form
    2,270.52/3,133.62 = 1,682.73/x
  3. Step 3: Cross multiply
    2,270.52x = 3,133.62 × 1,682.73
  4. Step 4: Simplify right side
    2,270.52x = 5,273,036.38
  5. Step 5: Solve for x
    x = 5,273,036.38/2,270.52
  6. Step 6: Final answer
    x = 2,322.39

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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.