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Finding the Fourth Proportional to 2,761.97, 4,142.96 and 2,274.00

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Solution

The fourth proportional to 2,761.97, 4,142.96 and 2,274.00 is: 3,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.97 : 4,142.96 = 2,274.00 : x
  2. Step 2: Convert to fraction form
    2,761.97/4,142.96 = 2,274.00/x
  3. Step 3: Cross multiply
    2,761.97x = 4,142.96 × 2,274.00
  4. Step 4: Simplify right side
    2,761.97x = 9,421,058.96
  5. Step 5: Solve for x
    x = 9,421,058.96/2,761.97
  6. Step 6: Final answer
    x = 3,410.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.