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Finding the Fourth Proportional to 2,584.73, 3,564.56 and 1,687.66

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Solution

The fourth proportional to 2,584.73, 3,564.56 and 1,687.66 is: 2,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.73 : 3,564.56 = 1,687.66 : x
  2. Step 2: Convert to fraction form
    2,584.73/3,564.56 = 1,687.66/x
  3. Step 3: Cross multiply
    2,584.73x = 3,564.56 × 1,687.66
  4. Step 4: Simplify right side
    2,584.73x = 6,015,760.64
  5. Step 5: Solve for x
    x = 6,015,760.64/2,584.73
  6. Step 6: Final answer
    x = 2,327.42

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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.