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Finding the Fourth Proportional to 1,517.94, 2,276.72 and 422.39

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Solution

The fourth proportional to 1,517.94, 2,276.72 and 422.39 is: 633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.94 : 2,276.72 = 422.39 : x
  2. Step 2: Convert to fraction form
    1,517.94/2,276.72 = 422.39/x
  3. Step 3: Cross multiply
    1,517.94x = 2,276.72 × 422.39
  4. Step 4: Simplify right side
    1,517.94x = 961,671.30
  5. Step 5: Solve for x
    x = 961,671.30/1,517.94
  6. Step 6: Final answer
    x = 633.54

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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.