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Finding the Fourth Proportional to 2,635.44, 3,953.22 and 786.57

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Solution

The fourth proportional to 2,635.44, 3,953.22 and 786.57 is: 1,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.44 : 3,953.22 = 786.57 : x
  2. Step 2: Convert to fraction form
    2,635.44/3,953.22 = 786.57/x
  3. Step 3: Cross multiply
    2,635.44x = 3,953.22 × 786.57
  4. Step 4: Simplify right side
    2,635.44x = 3,109,484.26
  5. Step 5: Solve for x
    x = 3,109,484.26/2,635.44
  6. Step 6: Final answer
    x = 1,179.87

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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.