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Finding the Fourth Proportional to 2,819.34, 4,228.98 and 2,203.56

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Solution

The fourth proportional to 2,819.34, 4,228.98 and 2,203.56 is: 3,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.34 : 4,228.98 = 2,203.56 : x
  2. Step 2: Convert to fraction form
    2,819.34/4,228.98 = 2,203.56/x
  3. Step 3: Cross multiply
    2,819.34x = 4,228.98 × 2,203.56
  4. Step 4: Simplify right side
    2,819.34x = 9,318,815.55
  5. Step 5: Solve for x
    x = 9,318,815.55/2,819.34
  6. Step 6: Final answer
    x = 3,305.32

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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.