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Finding the Fourth Proportional to 2,172.52, 3,257.34 and 1,199.08

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Solution

The fourth proportional to 2,172.52, 3,257.34 and 1,199.08 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.52 : 3,257.34 = 1,199.08 : x
  2. Step 2: Convert to fraction form
    2,172.52/3,257.34 = 1,199.08/x
  3. Step 3: Cross multiply
    2,172.52x = 3,257.34 × 1,199.08
  4. Step 4: Simplify right side
    2,172.52x = 3,905,811.25
  5. Step 5: Solve for x
    x = 3,905,811.25/2,172.52
  6. Step 6: Final answer
    x = 1,797.83

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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.