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Finding the Fourth Proportional to 2,635.96, 3,954.21 and 1,174.99

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Solution

The fourth proportional to 2,635.96, 3,954.21 and 1,174.99 is: 1,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.96 : 3,954.21 = 1,174.99 : x
  2. Step 2: Convert to fraction form
    2,635.96/3,954.21 = 1,174.99/x
  3. Step 3: Cross multiply
    2,635.96x = 3,954.21 × 1,174.99
  4. Step 4: Simplify right side
    2,635.96x = 4,646,157.21
  5. Step 5: Solve for x
    x = 4,646,157.21/2,635.96
  6. Step 6: Final answer
    x = 1,762.61

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Why These Related Problems?

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