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Finding the Fourth Proportional to 1,882.68, 2,824.17 and 496.00

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Solution

The fourth proportional to 1,882.68, 2,824.17 and 496.00 is: 744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.68 : 2,824.17 = 496.00 : x
  2. Step 2: Convert to fraction form
    1,882.68/2,824.17 = 496.00/x
  3. Step 3: Cross multiply
    1,882.68x = 2,824.17 × 496.00
  4. Step 4: Simplify right side
    1,882.68x = 1,400,796.05
  5. Step 5: Solve for x
    x = 1,400,796.05/1,882.68
  6. Step 6: Final answer
    x = 744.04

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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.