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Finding the Fourth Proportional to 3,181.53, 4,773.51 and 1,796.43

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Solution

The fourth proportional to 3,181.53, 4,773.51 and 1,796.43 is: 2,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.53 : 4,773.51 = 1,796.43 : x
  2. Step 2: Convert to fraction form
    3,181.53/4,773.51 = 1,796.43/x
  3. Step 3: Cross multiply
    3,181.53x = 4,773.51 × 1,796.43
  4. Step 4: Simplify right side
    3,181.53x = 8,575,276.57
  5. Step 5: Solve for x
    x = 8,575,276.57/3,181.53
  6. Step 6: Final answer
    x = 2,695.33

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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.