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Finding the Fourth Proportional to 3,181.59, 4,773.20 and 1,451.43

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Solution

The fourth proportional to 3,181.59, 4,773.20 and 1,451.43 is: 2,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.59 : 4,773.20 = 1,451.43 : x
  2. Step 2: Convert to fraction form
    3,181.59/4,773.20 = 1,451.43/x
  3. Step 3: Cross multiply
    3,181.59x = 4,773.20 × 1,451.43
  4. Step 4: Simplify right side
    3,181.59x = 6,927,958.42
  5. Step 5: Solve for x
    x = 6,927,958.42/3,181.59
  6. Step 6: Final answer
    x = 2,177.51

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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.