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Finding the Fourth Proportional to 2,173.86, 3,255.18 and 1,441.14

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Solution

The fourth proportional to 2,173.86, 3,255.18 and 1,441.14 is: 2,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.86 : 3,255.18 = 1,441.14 : x
  2. Step 2: Convert to fraction form
    2,173.86/3,255.18 = 1,441.14/x
  3. Step 3: Cross multiply
    2,173.86x = 3,255.18 × 1,441.14
  4. Step 4: Simplify right side
    2,173.86x = 4,691,170.11
  5. Step 5: Solve for x
    x = 4,691,170.11/2,173.86
  6. Step 6: Final answer
    x = 2,157.99

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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.