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Finding the Fourth Proportional to 3,189, 4,400.58 and 1,791.88

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Solution

The fourth proportional to 3,189, 4,400.58 and 1,791.88 is: 2,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,400.58 = 1,791.88 : x
  2. Step 2: Convert to fraction form
    3,189/4,400.58 = 1,791.88/x
  3. Step 3: Cross multiply
    3,189x = 4,400.58 × 1,791.88
  4. Step 4: Simplify right side
    3,189x = 7,885,311.29
  5. Step 5: Solve for x
    x = 7,885,311.29/3,189
  6. Step 6: Final answer
    x = 2,472.66

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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.