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Finding the Fourth Proportional to 3,245.26, 4,865.65 and 2,146.31

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Solution

The fourth proportional to 3,245.26, 4,865.65 and 2,146.31 is: 3,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.26 : 4,865.65 = 2,146.31 : x
  2. Step 2: Convert to fraction form
    3,245.26/4,865.65 = 2,146.31/x
  3. Step 3: Cross multiply
    3,245.26x = 4,865.65 × 2,146.31
  4. Step 4: Simplify right side
    3,245.26x = 10,443,193.25
  5. Step 5: Solve for x
    x = 10,443,193.25/3,245.26
  6. Step 6: Final answer
    x = 3,217.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.