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Finding the Fourth Proportional to 3,057.66, 4,221.45 and 1,940.22

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Solution

The fourth proportional to 3,057.66, 4,221.45 and 1,940.22 is: 2,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.66 : 4,221.45 = 1,940.22 : x
  2. Step 2: Convert to fraction form
    3,057.66/4,221.45 = 1,940.22/x
  3. Step 3: Cross multiply
    3,057.66x = 4,221.45 × 1,940.22
  4. Step 4: Simplify right side
    3,057.66x = 8,190,541.72
  5. Step 5: Solve for x
    x = 8,190,541.72/3,057.66
  6. Step 6: Final answer
    x = 2,678.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.