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Finding the Fourth Proportional to 3,271.31, 4,512.82 and 1,944.08

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Solution

The fourth proportional to 3,271.31, 4,512.82 and 1,944.08 is: 2,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.31 : 4,512.82 = 1,944.08 : x
  2. Step 2: Convert to fraction form
    3,271.31/4,512.82 = 1,944.08/x
  3. Step 3: Cross multiply
    3,271.31x = 4,512.82 × 1,944.08
  4. Step 4: Simplify right side
    3,271.31x = 8,773,260.54
  5. Step 5: Solve for x
    x = 8,773,260.54/3,271.31
  6. Step 6: Final answer
    x = 2,681.88

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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.