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Finding the Fourth Proportional to 1,635.98, 2,257.41 and 1,193.12

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Solution

The fourth proportional to 1,635.98, 2,257.41 and 1,193.12 is: 1,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.98 : 2,257.41 = 1,193.12 : x
  2. Step 2: Convert to fraction form
    1,635.98/2,257.41 = 1,193.12/x
  3. Step 3: Cross multiply
    1,635.98x = 2,257.41 × 1,193.12
  4. Step 4: Simplify right side
    1,635.98x = 2,693,349.73
  5. Step 5: Solve for x
    x = 2,693,349.73/1,635.98
  6. Step 6: Final answer
    x = 1,646.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.