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Finding the Fourth Proportional to 1,872.75, 2,584.39 and 1,086.78

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Solution

The fourth proportional to 1,872.75, 2,584.39 and 1,086.78 is: 1,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.75 : 2,584.39 = 1,086.78 : x
  2. Step 2: Convert to fraction form
    1,872.75/2,584.39 = 1,086.78/x
  3. Step 3: Cross multiply
    1,872.75x = 2,584.39 × 1,086.78
  4. Step 4: Simplify right side
    1,872.75x = 2,808,672.38
  5. Step 5: Solve for x
    x = 2,808,672.38/1,872.75
  6. Step 6: Final answer
    x = 1,499.76

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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.