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Finding the Fourth Proportional to 2,940.93, 4,058.47 and 1,614.61

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Solution

The fourth proportional to 2,940.93, 4,058.47 and 1,614.61 is: 2,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.93 : 4,058.47 = 1,614.61 : x
  2. Step 2: Convert to fraction form
    2,940.93/4,058.47 = 1,614.61/x
  3. Step 3: Cross multiply
    2,940.93x = 4,058.47 × 1,614.61
  4. Step 4: Simplify right side
    2,940.93x = 6,552,846.25
  5. Step 5: Solve for x
    x = 6,552,846.25/2,940.93
  6. Step 6: Final answer
    x = 2,228.15

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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.