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Finding the Fourth Proportional to 2,155.57, 3,234.61 and 1,232.44

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Solution

The fourth proportional to 2,155.57, 3,234.61 and 1,232.44 is: 1,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.57 : 3,234.61 = 1,232.44 : x
  2. Step 2: Convert to fraction form
    2,155.57/3,234.61 = 1,232.44/x
  3. Step 3: Cross multiply
    2,155.57x = 3,234.61 × 1,232.44
  4. Step 4: Simplify right side
    2,155.57x = 3,986,462.75
  5. Step 5: Solve for x
    x = 3,986,462.75/2,155.57
  6. Step 6: Final answer
    x = 1,849.38

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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.