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Finding the Fourth Proportional to 2,885.85, 3,982.26 and 1,889.55

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Solution

The fourth proportional to 2,885.85, 3,982.26 and 1,889.55 is: 2,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.85 : 3,982.26 = 1,889.55 : x
  2. Step 2: Convert to fraction form
    2,885.85/3,982.26 = 1,889.55/x
  3. Step 3: Cross multiply
    2,885.85x = 3,982.26 × 1,889.55
  4. Step 4: Simplify right side
    2,885.85x = 7,524,679.38
  5. Step 5: Solve for x
    x = 7,524,679.38/2,885.85
  6. Step 6: Final answer
    x = 2,607.44

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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.