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Finding the Fourth Proportional to 3,271.40, 4,907.10 and 2,234.60

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Solution

The fourth proportional to 3,271.40, 4,907.10 and 2,234.60 is: 3,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.40 : 4,907.10 = 2,234.60 : x
  2. Step 2: Convert to fraction form
    3,271.40/4,907.10 = 2,234.60/x
  3. Step 3: Cross multiply
    3,271.40x = 4,907.10 × 2,234.60
  4. Step 4: Simplify right side
    3,271.40x = 10,965,405.66
  5. Step 5: Solve for x
    x = 10,965,405.66/3,271.40
  6. Step 6: Final answer
    x = 3,351.90

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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.