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Finding the Fourth Proportional to 1,549.80, 2,324.70 and 395.55

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Solution

The fourth proportional to 1,549.80, 2,324.70 and 395.55 is: 593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.80 : 2,324.70 = 395.55 : x
  2. Step 2: Convert to fraction form
    1,549.80/2,324.70 = 395.55/x
  3. Step 3: Cross multiply
    1,549.80x = 2,324.70 × 395.55
  4. Step 4: Simplify right side
    1,549.80x = 919,535.09
  5. Step 5: Solve for x
    x = 919,535.09/1,549.80
  6. Step 6: Final answer
    x = 593.33

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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.