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Finding the Fourth Proportional to 1,819.27, 2,729.28 and 586.80

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Solution

The fourth proportional to 1,819.27, 2,729.28 and 586.80 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.27 : 2,729.28 = 586.80 : x
  2. Step 2: Convert to fraction form
    1,819.27/2,729.28 = 586.80/x
  3. Step 3: Cross multiply
    1,819.27x = 2,729.28 × 586.80
  4. Step 4: Simplify right side
    1,819.27x = 1,601,540.40
  5. Step 5: Solve for x
    x = 1,601,540.40/1,819.27
  6. Step 6: Final answer
    x = 880.32

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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.