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Finding the Fourth Proportional to 2,284.28, 3,422.03 and 1,757.78

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Solution

The fourth proportional to 2,284.28, 3,422.03 and 1,757.78 is: 2,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.28 : 3,422.03 = 1,757.78 : x
  2. Step 2: Convert to fraction form
    2,284.28/3,422.03 = 1,757.78/x
  3. Step 3: Cross multiply
    2,284.28x = 3,422.03 × 1,757.78
  4. Step 4: Simplify right side
    2,284.28x = 6,015,149.99
  5. Step 5: Solve for x
    x = 6,015,149.99/2,284.28
  6. Step 6: Final answer
    x = 2,633.29

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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.