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Finding the Fourth Proportional to 3,167.56, 4,378.08 and 2,380.24

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Solution

The fourth proportional to 3,167.56, 4,378.08 and 2,380.24 is: 3,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.56 : 4,378.08 = 2,380.24 : x
  2. Step 2: Convert to fraction form
    3,167.56/4,378.08 = 2,380.24/x
  3. Step 3: Cross multiply
    3,167.56x = 4,378.08 × 2,380.24
  4. Step 4: Simplify right side
    3,167.56x = 10,420,881.14
  5. Step 5: Solve for x
    x = 10,420,881.14/3,167.56
  6. Step 6: Final answer
    x = 3,289.88

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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.