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Finding the Fourth Proportional to 2,548.70, 3,826.92 and 2,423.42

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Solution

The fourth proportional to 2,548.70, 3,826.92 and 2,423.42 is: 3,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.70 : 3,826.92 = 2,423.42 : x
  2. Step 2: Convert to fraction form
    2,548.70/3,826.92 = 2,423.42/x
  3. Step 3: Cross multiply
    2,548.70x = 3,826.92 × 2,423.42
  4. Step 4: Simplify right side
    2,548.70x = 9,274,234.47
  5. Step 5: Solve for x
    x = 9,274,234.47/2,548.70
  6. Step 6: Final answer
    x = 3,638.81

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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.