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Finding the Fourth Proportional to 2,871.76, 4,301.22 and 2,496.76

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Solution

The fourth proportional to 2,871.76, 4,301.22 and 2,496.76 is: 3,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.76 : 4,301.22 = 2,496.76 : x
  2. Step 2: Convert to fraction form
    2,871.76/4,301.22 = 2,496.76/x
  3. Step 3: Cross multiply
    2,871.76x = 4,301.22 × 2,496.76
  4. Step 4: Simplify right side
    2,871.76x = 10,739,114.05
  5. Step 5: Solve for x
    x = 10,739,114.05/2,871.76
  6. Step 6: Final answer
    x = 3,739.56

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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.