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Finding the Fourth Proportional to 2,158.78, 3,234.02 and 1,231.60

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Solution

The fourth proportional to 2,158.78, 3,234.02 and 1,231.60 is: 1,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.78 : 3,234.02 = 1,231.60 : x
  2. Step 2: Convert to fraction form
    2,158.78/3,234.02 = 1,231.60/x
  3. Step 3: Cross multiply
    2,158.78x = 3,234.02 × 1,231.60
  4. Step 4: Simplify right side
    2,158.78x = 3,983,002.86
  5. Step 5: Solve for x
    x = 3,983,002.86/2,158.78
  6. Step 6: Final answer
    x = 1,845.03

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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.