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Finding the Fourth Proportional to 2,635.96, 3,952.56 and 1,318.30

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Solution

The fourth proportional to 2,635.96, 3,952.56 and 1,318.30 is: 1,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.96 : 3,952.56 = 1,318.30 : x
  2. Step 2: Convert to fraction form
    2,635.96/3,952.56 = 1,318.30/x
  3. Step 3: Cross multiply
    2,635.96x = 3,952.56 × 1,318.30
  4. Step 4: Simplify right side
    2,635.96x = 5,210,659.85
  5. Step 5: Solve for x
    x = 5,210,659.85/2,635.96
  6. Step 6: Final answer
    x = 1,976.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.