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Finding the Fourth Proportional to 3,227.42, 4,453.90 and 1,830.18

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Solution

The fourth proportional to 3,227.42, 4,453.90 and 1,830.18 is: 2,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.42 : 4,453.90 = 1,830.18 : x
  2. Step 2: Convert to fraction form
    3,227.42/4,453.90 = 1,830.18/x
  3. Step 3: Cross multiply
    3,227.42x = 4,453.90 × 1,830.18
  4. Step 4: Simplify right side
    3,227.42x = 8,151,438.70
  5. Step 5: Solve for x
    x = 8,151,438.70/3,227.42
  6. Step 6: Final answer
    x = 2,525.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.