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Finding the Fourth Proportional to 2,172.20, 3,259.10 and 873.80

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Solution

The fourth proportional to 2,172.20, 3,259.10 and 873.80 is: 1,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.20 : 3,259.10 = 873.80 : x
  2. Step 2: Convert to fraction form
    2,172.20/3,259.10 = 873.80/x
  3. Step 3: Cross multiply
    2,172.20x = 3,259.10 × 873.80
  4. Step 4: Simplify right side
    2,172.20x = 2,847,801.58
  5. Step 5: Solve for x
    x = 2,847,801.58/2,172.20
  6. Step 6: Final answer
    x = 1,311.02

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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.