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Finding the Fourth Proportional to 1,882.84, 2,824.26 and 786.52

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Solution

The fourth proportional to 1,882.84, 2,824.26 and 786.52 is: 1,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.84 : 2,824.26 = 786.52 : x
  2. Step 2: Convert to fraction form
    1,882.84/2,824.26 = 786.52/x
  3. Step 3: Cross multiply
    1,882.84x = 2,824.26 × 786.52
  4. Step 4: Simplify right side
    1,882.84x = 2,221,336.98
  5. Step 5: Solve for x
    x = 2,221,336.98/1,882.84
  6. Step 6: Final answer
    x = 1,179.78

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