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Finding the Fourth Proportional to 2,819.72, 3,892.29 and 2,524.46

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Solution

The fourth proportional to 2,819.72, 3,892.29 and 2,524.46 is: 3,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.72 : 3,892.29 = 2,524.46 : x
  2. Step 2: Convert to fraction form
    2,819.72/3,892.29 = 2,524.46/x
  3. Step 3: Cross multiply
    2,819.72x = 3,892.29 × 2,524.46
  4. Step 4: Simplify right side
    2,819.72x = 9,825,930.41
  5. Step 5: Solve for x
    x = 9,825,930.41/2,819.72
  6. Step 6: Final answer
    x = 3,484.72

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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.