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Finding the Fourth Proportional to 2,382.98, 3,575.37 and 997.25

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Solution

The fourth proportional to 2,382.98, 3,575.37 and 997.25 is: 1,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.98 : 3,575.37 = 997.25 : x
  2. Step 2: Convert to fraction form
    2,382.98/3,575.37 = 997.25/x
  3. Step 3: Cross multiply
    2,382.98x = 3,575.37 × 997.25
  4. Step 4: Simplify right side
    2,382.98x = 3,565,537.73
  5. Step 5: Solve for x
    x = 3,565,537.73/2,382.98
  6. Step 6: Final answer
    x = 1,496.25

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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.