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Finding the Fourth Proportional to 2,144.53, 3,216.03 and 1,105.66

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Solution

The fourth proportional to 2,144.53, 3,216.03 and 1,105.66 is: 1,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.53 : 3,216.03 = 1,105.66 : x
  2. Step 2: Convert to fraction form
    2,144.53/3,216.03 = 1,105.66/x
  3. Step 3: Cross multiply
    2,144.53x = 3,216.03 × 1,105.66
  4. Step 4: Simplify right side
    2,144.53x = 3,555,835.73
  5. Step 5: Solve for x
    x = 3,555,835.73/2,144.53
  6. Step 6: Final answer
    x = 1,658.10

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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.