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Finding the Fourth Proportional to 2,027.88, 3,043.22 and 795.29

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Solution

The fourth proportional to 2,027.88, 3,043.22 and 795.29 is: 1,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.88 : 3,043.22 = 795.29 : x
  2. Step 2: Convert to fraction form
    2,027.88/3,043.22 = 795.29/x
  3. Step 3: Cross multiply
    2,027.88x = 3,043.22 × 795.29
  4. Step 4: Simplify right side
    2,027.88x = 2,420,223.24
  5. Step 5: Solve for x
    x = 2,420,223.24/2,027.88
  6. Step 6: Final answer
    x = 1,193.47

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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.