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Finding the Fourth Proportional to 1,819.38, 2,729.33 and 586.80

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Solution

The fourth proportional to 1,819.38, 2,729.33 and 586.80 is: 880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.38 : 2,729.33 = 586.80 : x
  2. Step 2: Convert to fraction form
    1,819.38/2,729.33 = 586.80/x
  3. Step 3: Cross multiply
    1,819.38x = 2,729.33 × 586.80
  4. Step 4: Simplify right side
    1,819.38x = 1,601,570.84
  5. Step 5: Solve for x
    x = 1,601,570.84/1,819.38
  6. Step 6: Final answer
    x = 880.28

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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.