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Finding the Fourth Proportional to 3,174.76, 4,380.96 and 1,777.24

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Solution

The fourth proportional to 3,174.76, 4,380.96 and 1,777.24 is: 2,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.76 : 4,380.96 = 1,777.24 : x
  2. Step 2: Convert to fraction form
    3,174.76/4,380.96 = 1,777.24/x
  3. Step 3: Cross multiply
    3,174.76x = 4,380.96 × 1,777.24
  4. Step 4: Simplify right side
    3,174.76x = 7,786,017.35
  5. Step 5: Solve for x
    x = 7,786,017.35/3,174.76
  6. Step 6: Final answer
    x = 2,452.47

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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.