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Finding the Fourth Proportional to 2,940.96, 4,058.54 and 1,614.64

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Solution

The fourth proportional to 2,940.96, 4,058.54 and 1,614.64 is: 2,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.96 : 4,058.54 = 1,614.64 : x
  2. Step 2: Convert to fraction form
    2,940.96/4,058.54 = 1,614.64/x
  3. Step 3: Cross multiply
    2,940.96x = 4,058.54 × 1,614.64
  4. Step 4: Simplify right side
    2,940.96x = 6,553,081.03
  5. Step 5: Solve for x
    x = 6,553,081.03/2,940.96
  6. Step 6: Final answer
    x = 2,228.21

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Why These Related Problems?

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