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Finding the Fourth Proportional to 1,549.26, 2,324.01 and 395

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Solution

The fourth proportional to 1,549.26, 2,324.01 and 395 is: 592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.26 : 2,324.01 = 395 : x
  2. Step 2: Convert to fraction form
    1,549.26/2,324.01 = 395/x
  3. Step 3: Cross multiply
    1,549.26x = 2,324.01 × 395
  4. Step 4: Simplify right side
    1,549.26x = 917,983.95
  5. Step 5: Solve for x
    x = 917,983.95/1,549.26
  6. Step 6: Final answer
    x = 592.53

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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.