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Finding the Fourth Proportional to 3,212.10, 4,812.98 and 1,821.30

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Solution

The fourth proportional to 3,212.10, 4,812.98 and 1,821.30 is: 2,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.10 : 4,812.98 = 1,821.30 : x
  2. Step 2: Convert to fraction form
    3,212.10/4,812.98 = 1,821.30/x
  3. Step 3: Cross multiply
    3,212.10x = 4,812.98 × 1,821.30
  4. Step 4: Simplify right side
    3,212.10x = 8,765,871.37
  5. Step 5: Solve for x
    x = 8,765,871.37/3,212.10
  6. Step 6: Final answer
    x = 2,729.02

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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.