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Finding the Fourth Proportional to 1,882.41, 2,824.43 and 1,268.43

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Solution

The fourth proportional to 1,882.41, 2,824.43 and 1,268.43 is: 1,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.41 : 2,824.43 = 1,268.43 : x
  2. Step 2: Convert to fraction form
    1,882.41/2,824.43 = 1,268.43/x
  3. Step 3: Cross multiply
    1,882.41x = 2,824.43 × 1,268.43
  4. Step 4: Simplify right side
    1,882.41x = 3,582,591.74
  5. Step 5: Solve for x
    x = 3,582,591.74/1,882.41
  6. Step 6: Final answer
    x = 1,903.19

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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.