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Finding the Fourth Proportional to 1,443.67, 1,992.26 and 814.19

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Solution

The fourth proportional to 1,443.67, 1,992.26 and 814.19 is: 1,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.67 : 1,992.26 = 814.19 : x
  2. Step 2: Convert to fraction form
    1,443.67/1,992.26 = 814.19/x
  3. Step 3: Cross multiply
    1,443.67x = 1,992.26 × 814.19
  4. Step 4: Simplify right side
    1,443.67x = 1,622,077.22
  5. Step 5: Solve for x
    x = 1,622,077.22/1,443.67
  6. Step 6: Final answer
    x = 1,123.58

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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.