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Finding the Fourth Proportional to 2,789.83, 4,181.82 and 940.30

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Solution

The fourth proportional to 2,789.83, 4,181.82 and 940.30 is: 1,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.83 : 4,181.82 = 940.30 : x
  2. Step 2: Convert to fraction form
    2,789.83/4,181.82 = 940.30/x
  3. Step 3: Cross multiply
    2,789.83x = 4,181.82 × 940.30
  4. Step 4: Simplify right side
    2,789.83x = 3,932,165.35
  5. Step 5: Solve for x
    x = 3,932,165.35/2,789.83
  6. Step 6: Final answer
    x = 1,409.47

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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.