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Finding the Fourth Proportional to 1,819.41, 2,729.40 and 586.54

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Solution

The fourth proportional to 1,819.41, 2,729.40 and 586.54 is: 879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.41 : 2,729.40 = 586.54 : x
  2. Step 2: Convert to fraction form
    1,819.41/2,729.40 = 586.54/x
  3. Step 3: Cross multiply
    1,819.41x = 2,729.40 × 586.54
  4. Step 4: Simplify right side
    1,819.41x = 1,600,903.49
  5. Step 5: Solve for x
    x = 1,600,903.49/1,819.41
  6. Step 6: Final answer
    x = 879.90

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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.