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Finding the Fourth Proportional to 2,173.20, 3,250.20 and 1,827.60

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Solution

The fourth proportional to 2,173.20, 3,250.20 and 1,827.60 is: 2,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.20 : 3,250.20 = 1,827.60 : x
  2. Step 2: Convert to fraction form
    2,173.20/3,250.20 = 1,827.60/x
  3. Step 3: Cross multiply
    2,173.20x = 3,250.20 × 1,827.60
  4. Step 4: Simplify right side
    2,173.20x = 5,940,065.52
  5. Step 5: Solve for x
    x = 5,940,065.52/2,173.20
  6. Step 6: Final answer
    x = 2,733.33

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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.