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Finding the Fourth Proportional to 2,871.12, 4,277.81 and 2,682.49

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Solution

The fourth proportional to 2,871.12, 4,277.81 and 2,682.49 is: 3,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.12 : 4,277.81 = 2,682.49 : x
  2. Step 2: Convert to fraction form
    2,871.12/4,277.81 = 2,682.49/x
  3. Step 3: Cross multiply
    2,871.12x = 4,277.81 × 2,682.49
  4. Step 4: Simplify right side
    2,871.12x = 11,475,181.64
  5. Step 5: Solve for x
    x = 11,475,181.64/2,871.12
  6. Step 6: Final answer
    x = 3,996.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.