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Finding the Fourth Proportional to 2,635.55, 3,953.36 and 786.24

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Solution

The fourth proportional to 2,635.55, 3,953.36 and 786.24 is: 1,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.55 : 3,953.36 = 786.24 : x
  2. Step 2: Convert to fraction form
    2,635.55/3,953.36 = 786.24/x
  3. Step 3: Cross multiply
    2,635.55x = 3,953.36 × 786.24
  4. Step 4: Simplify right side
    2,635.55x = 3,108,285.84
  5. Step 5: Solve for x
    x = 3,108,285.84/2,635.55
  6. Step 6: Final answer
    x = 1,179.37

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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.