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Finding the Fourth Proportional to 2,819.16, 3,883.01 and 2,538.63

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Solution

The fourth proportional to 2,819.16, 3,883.01 and 2,538.63 is: 3,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.16 : 3,883.01 = 2,538.63 : x
  2. Step 2: Convert to fraction form
    2,819.16/3,883.01 = 2,538.63/x
  3. Step 3: Cross multiply
    2,819.16x = 3,883.01 × 2,538.63
  4. Step 4: Simplify right side
    2,819.16x = 9,857,512.98
  5. Step 5: Solve for x
    x = 9,857,512.98/2,819.16
  6. Step 6: Final answer
    x = 3,496.61

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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.