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Finding the Fourth Proportional to 2,819.46, 4,228.33 and 969.51

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Solution

The fourth proportional to 2,819.46, 4,228.33 and 969.51 is: 1,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.46 : 4,228.33 = 969.51 : x
  2. Step 2: Convert to fraction form
    2,819.46/4,228.33 = 969.51/x
  3. Step 3: Cross multiply
    2,819.46x = 4,228.33 × 969.51
  4. Step 4: Simplify right side
    2,819.46x = 4,099,382.23
  5. Step 5: Solve for x
    x = 4,099,382.23/2,819.46
  6. Step 6: Final answer
    x = 1,453.96

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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.