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Finding the Fourth Proportional to 2,940.64, 4,058.12 and 1,614.31

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Solution

The fourth proportional to 2,940.64, 4,058.12 and 1,614.31 is: 2,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.64 : 4,058.12 = 1,614.31 : x
  2. Step 2: Convert to fraction form
    2,940.64/4,058.12 = 1,614.31/x
  3. Step 3: Cross multiply
    2,940.64x = 4,058.12 × 1,614.31
  4. Step 4: Simplify right side
    2,940.64x = 6,551,057.59
  5. Step 5: Solve for x
    x = 6,551,057.59/2,940.64
  6. Step 6: Final answer
    x = 2,227.77

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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.