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Finding the Fourth Proportional to 2,725.78, 3,760.76 and 1,606.82

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Solution

The fourth proportional to 2,725.78, 3,760.76 and 1,606.82 is: 2,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.78 : 3,760.76 = 1,606.82 : x
  2. Step 2: Convert to fraction form
    2,725.78/3,760.76 = 1,606.82/x
  3. Step 3: Cross multiply
    2,725.78x = 3,760.76 × 1,606.82
  4. Step 4: Simplify right side
    2,725.78x = 6,042,864.38
  5. Step 5: Solve for x
    x = 6,042,864.38/2,725.78
  6. Step 6: Final answer
    x = 2,216.93

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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.