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Finding the Fourth Proportional to 2,940.75, 4,058.28 and 2,195.37

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Solution

The fourth proportional to 2,940.75, 4,058.28 and 2,195.37 is: 3,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.75 : 4,058.28 = 2,195.37 : x
  2. Step 2: Convert to fraction form
    2,940.75/4,058.28 = 2,195.37/x
  3. Step 3: Cross multiply
    2,940.75x = 4,058.28 × 2,195.37
  4. Step 4: Simplify right side
    2,940.75x = 8,909,426.16
  5. Step 5: Solve for x
    x = 8,909,426.16/2,940.75
  6. Step 6: Final answer
    x = 3,029.64

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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.