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Finding the Fourth Proportional to 2,819.06, 4,227.51 and 969.83

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Solution

The fourth proportional to 2,819.06, 4,227.51 and 969.83 is: 1,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.06 : 4,227.51 = 969.83 : x
  2. Step 2: Convert to fraction form
    2,819.06/4,227.51 = 969.83/x
  3. Step 3: Cross multiply
    2,819.06x = 4,227.51 × 969.83
  4. Step 4: Simplify right side
    2,819.06x = 4,099,966.02
  5. Step 5: Solve for x
    x = 4,099,966.02/2,819.06
  6. Step 6: Final answer
    x = 1,454.37

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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.