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Finding the Fourth Proportional to 2,819.56, 4,228.02 and 1,649.92

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Solution

The fourth proportional to 2,819.56, 4,228.02 and 1,649.92 is: 2,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.56 : 4,228.02 = 1,649.92 : x
  2. Step 2: Convert to fraction form
    2,819.56/4,228.02 = 1,649.92/x
  3. Step 3: Cross multiply
    2,819.56x = 4,228.02 × 1,649.92
  4. Step 4: Simplify right side
    2,819.56x = 6,975,896.76
  5. Step 5: Solve for x
    x = 6,975,896.76/2,819.56
  6. Step 6: Final answer
    x = 2,474.11

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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.