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Finding the Fourth Proportional to 2,819.22, 3,886.80 and 2,313.22

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Solution

The fourth proportional to 2,819.22, 3,886.80 and 2,313.22 is: 3,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.22 : 3,886.80 = 2,313.22 : x
  2. Step 2: Convert to fraction form
    2,819.22/3,886.80 = 2,313.22/x
  3. Step 3: Cross multiply
    2,819.22x = 3,886.80 × 2,313.22
  4. Step 4: Simplify right side
    2,819.22x = 8,991,011.93
  5. Step 5: Solve for x
    x = 8,991,011.93/2,819.22
  6. Step 6: Final answer
    x = 3,189.18

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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.