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Finding the Fourth Proportional to 3,234.70, 4,461.78 and 2,644.30

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Solution

The fourth proportional to 3,234.70, 4,461.78 and 2,644.30 is: 3,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.70 : 4,461.78 = 2,644.30 : x
  2. Step 2: Convert to fraction form
    3,234.70/4,461.78 = 2,644.30/x
  3. Step 3: Cross multiply
    3,234.70x = 4,461.78 × 2,644.30
  4. Step 4: Simplify right side
    3,234.70x = 11,798,284.85
  5. Step 5: Solve for x
    x = 11,798,284.85/3,234.70
  6. Step 6: Final answer
    x = 3,647.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.