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Finding the Fourth Proportional to 3,311.90, 4,570.43 and 1,819.78

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Solution

The fourth proportional to 3,311.90, 4,570.43 and 1,819.78 is: 2,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.90 : 4,570.43 = 1,819.78 : x
  2. Step 2: Convert to fraction form
    3,311.90/4,570.43 = 1,819.78/x
  3. Step 3: Cross multiply
    3,311.90x = 4,570.43 × 1,819.78
  4. Step 4: Simplify right side
    3,311.90x = 8,317,177.11
  5. Step 5: Solve for x
    x = 8,317,177.11/3,311.90
  6. Step 6: Final answer
    x = 2,511.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.