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Finding the Fourth Proportional to 2,871.30, 3,964.31 and 2,206.97

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Solution

The fourth proportional to 2,871.30, 3,964.31 and 2,206.97 is: 3,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.30 : 3,964.31 = 2,206.97 : x
  2. Step 2: Convert to fraction form
    2,871.30/3,964.31 = 2,206.97/x
  3. Step 3: Cross multiply
    2,871.30x = 3,964.31 × 2,206.97
  4. Step 4: Simplify right side
    2,871.30x = 8,749,082.38
  5. Step 5: Solve for x
    x = 8,749,082.38/2,871.30
  6. Step 6: Final answer
    x = 3,047.08

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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.