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Finding the Fourth Proportional to 1,549.69, 2,325.57 and 819.79

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Solution

The fourth proportional to 1,549.69, 2,325.57 and 819.79 is: 1,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.69 : 2,325.57 = 819.79 : x
  2. Step 2: Convert to fraction form
    1,549.69/2,325.57 = 819.79/x
  3. Step 3: Cross multiply
    1,549.69x = 2,325.57 × 819.79
  4. Step 4: Simplify right side
    1,549.69x = 1,906,479.03
  5. Step 5: Solve for x
    x = 1,906,479.03/1,549.69
  6. Step 6: Final answer
    x = 1,230.23

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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.