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Finding the Fourth Proportional to 1,549.72, 2,324.63 and 395.47

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Solution

The fourth proportional to 1,549.72, 2,324.63 and 395.47 is: 593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.72 : 2,324.63 = 395.47 : x
  2. Step 2: Convert to fraction form
    1,549.72/2,324.63 = 395.47/x
  3. Step 3: Cross multiply
    1,549.72x = 2,324.63 × 395.47
  4. Step 4: Simplify right side
    1,549.72x = 919,321.43
  5. Step 5: Solve for x
    x = 919,321.43/1,549.72
  6. Step 6: Final answer
    x = 593.22

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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.