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Finding the Fourth Proportional to 3,174.55, 4,380.68 and 1,758.21

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Solution

The fourth proportional to 3,174.55, 4,380.68 and 1,758.21 is: 2,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.55 : 4,380.68 = 1,758.21 : x
  2. Step 2: Convert to fraction form
    3,174.55/4,380.68 = 1,758.21/x
  3. Step 3: Cross multiply
    3,174.55x = 4,380.68 × 1,758.21
  4. Step 4: Simplify right side
    3,174.55x = 7,702,180.31
  5. Step 5: Solve for x
    x = 7,702,180.31/3,174.55
  6. Step 6: Final answer
    x = 2,426.23

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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.