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Finding the Fourth Proportional to 1,882.38, 2,824.38 and 786.96

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Solution

The fourth proportional to 1,882.38, 2,824.38 and 786.96 is: 1,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.38 : 2,824.38 = 786.96 : x
  2. Step 2: Convert to fraction form
    1,882.38/2,824.38 = 786.96/x
  3. Step 3: Cross multiply
    1,882.38x = 2,824.38 × 786.96
  4. Step 4: Simplify right side
    1,882.38x = 2,222,674.08
  5. Step 5: Solve for x
    x = 2,222,674.08/1,882.38
  6. Step 6: Final answer
    x = 1,180.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.