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Finding the Fourth Proportional to 2,819.64, 3,885.84 and 2,319.24

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Solution

The fourth proportional to 2,819.64, 3,885.84 and 2,319.24 is: 3,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.64 : 3,885.84 = 2,319.24 : x
  2. Step 2: Convert to fraction form
    2,819.64/3,885.84 = 2,319.24/x
  3. Step 3: Cross multiply
    2,819.64x = 3,885.84 × 2,319.24
  4. Step 4: Simplify right side
    2,819.64x = 9,012,195.56
  5. Step 5: Solve for x
    x = 9,012,195.56/2,819.64
  6. Step 6: Final answer
    x = 3,196.22

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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.