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Finding the Fourth Proportional to 3,174.03, 4,380.13 and 1,757.82

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Solution

The fourth proportional to 3,174.03, 4,380.13 and 1,757.82 is: 2,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.03 : 4,380.13 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    3,174.03/4,380.13 = 1,757.82/x
  3. Step 3: Cross multiply
    3,174.03x = 4,380.13 × 1,757.82
  4. Step 4: Simplify right side
    3,174.03x = 7,699,480.12
  5. Step 5: Solve for x
    x = 7,699,480.12/3,174.03
  6. Step 6: Final answer
    x = 2,425.77

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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.