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Finding the Fourth Proportional to 1,443.38, 2,165.33 and 673.88

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Solution

The fourth proportional to 1,443.38, 2,165.33 and 673.88 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.38 : 2,165.33 = 673.88 : x
  2. Step 2: Convert to fraction form
    1,443.38/2,165.33 = 673.88/x
  3. Step 3: Cross multiply
    1,443.38x = 2,165.33 × 673.88
  4. Step 4: Simplify right side
    1,443.38x = 1,459,163.44
  5. Step 5: Solve for x
    x = 1,459,163.44/1,443.38
  6. Step 6: Final answer
    x = 1,010.94

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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.