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Finding the Fourth Proportional to 1,872.39, 2,584.26 and 1,086.56

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Solution

The fourth proportional to 1,872.39, 2,584.26 and 1,086.56 is: 1,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.39 : 2,584.26 = 1,086.56 : x
  2. Step 2: Convert to fraction form
    1,872.39/2,584.26 = 1,086.56/x
  3. Step 3: Cross multiply
    1,872.39x = 2,584.26 × 1,086.56
  4. Step 4: Simplify right side
    1,872.39x = 2,807,940.62
  5. Step 5: Solve for x
    x = 2,807,940.62/1,872.39
  6. Step 6: Final answer
    x = 1,499.66

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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.