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Finding the Fourth Proportional to 1,549.23, 2,324.19 and 453.55

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Solution

The fourth proportional to 1,549.23, 2,324.19 and 453.55 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.23 : 2,324.19 = 453.55 : x
  2. Step 2: Convert to fraction form
    1,549.23/2,324.19 = 453.55/x
  3. Step 3: Cross multiply
    1,549.23x = 2,324.19 × 453.55
  4. Step 4: Simplify right side
    1,549.23x = 1,054,136.62
  5. Step 5: Solve for x
    x = 1,054,136.62/1,549.23
  6. Step 6: Final answer
    x = 680.43

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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.