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Finding the Fourth Proportional to 1,624.25, 2,241.33 and 994.97

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Solution

The fourth proportional to 1,624.25, 2,241.33 and 994.97 is: 1,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.25 : 2,241.33 = 994.97 : x
  2. Step 2: Convert to fraction form
    1,624.25/2,241.33 = 994.97/x
  3. Step 3: Cross multiply
    1,624.25x = 2,241.33 × 994.97
  4. Step 4: Simplify right side
    1,624.25x = 2,230,044.90
  5. Step 5: Solve for x
    x = 2,230,044.90/1,624.25
  6. Step 6: Final answer
    x = 1,372.97

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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.