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Finding the Fourth Proportional to 2,635.31, 3,953.67 and 786.43

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Solution

The fourth proportional to 2,635.31, 3,953.67 and 786.43 is: 1,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.31 : 3,953.67 = 786.43 : x
  2. Step 2: Convert to fraction form
    2,635.31/3,953.67 = 786.43/x
  3. Step 3: Cross multiply
    2,635.31x = 3,953.67 × 786.43
  4. Step 4: Simplify right side
    2,635.31x = 3,109,284.70
  5. Step 5: Solve for x
    x = 3,109,284.70/2,635.31
  6. Step 6: Final answer
    x = 1,179.86

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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.