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Finding the Fourth Proportional to 1,644.78, 2,270.63 and 1,270.92

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Solution

The fourth proportional to 1,644.78, 2,270.63 and 1,270.92 is: 1,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.78 : 2,270.63 = 1,270.92 : x
  2. Step 2: Convert to fraction form
    1,644.78/2,270.63 = 1,270.92/x
  3. Step 3: Cross multiply
    1,644.78x = 2,270.63 × 1,270.92
  4. Step 4: Simplify right side
    1,644.78x = 2,885,789.08
  5. Step 5: Solve for x
    x = 2,885,789.08/1,644.78
  6. Step 6: Final answer
    x = 1,754.51

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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.