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Finding the Fourth Proportional to 1,825.25, 2,518.85 and 997.25

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Solution

The fourth proportional to 1,825.25, 2,518.85 and 997.25 is: 1,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.25 : 2,518.85 = 997.25 : x
  2. Step 2: Convert to fraction form
    1,825.25/2,518.85 = 997.25/x
  3. Step 3: Cross multiply
    1,825.25x = 2,518.85 × 997.25
  4. Step 4: Simplify right side
    1,825.25x = 2,511,918.18
  5. Step 5: Solve for x
    x = 2,511,918.18/1,825.25
  6. Step 6: Final answer
    x = 1,376.21

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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.