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Finding the Fourth Proportional to 2,438.51, 3,676.89 and 2,234.39

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Solution

The fourth proportional to 2,438.51, 3,676.89 and 2,234.39 is: 3,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.51 : 3,676.89 = 2,234.39 : x
  2. Step 2: Convert to fraction form
    2,438.51/3,676.89 = 2,234.39/x
  3. Step 3: Cross multiply
    2,438.51x = 3,676.89 × 2,234.39
  4. Step 4: Simplify right side
    2,438.51x = 8,215,596.24
  5. Step 5: Solve for x
    x = 8,215,596.24/2,438.51
  6. Step 6: Final answer
    x = 3,369.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.