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Finding the Fourth Proportional to 2,151.67, 3,228.23 and 1,328.80

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Solution

The fourth proportional to 2,151.67, 3,228.23 and 1,328.80 is: 1,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.67 : 3,228.23 = 1,328.80 : x
  2. Step 2: Convert to fraction form
    2,151.67/3,228.23 = 1,328.80/x
  3. Step 3: Cross multiply
    2,151.67x = 3,228.23 × 1,328.80
  4. Step 4: Simplify right side
    2,151.67x = 4,289,672.02
  5. Step 5: Solve for x
    x = 4,289,672.02/2,151.67
  6. Step 6: Final answer
    x = 1,993.65

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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.