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Finding the Fourth Proportional to 1,819.28, 2,507.95 and 1,446.41

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Solution

The fourth proportional to 1,819.28, 2,507.95 and 1,446.41 is: 1,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.28 : 2,507.95 = 1,446.41 : x
  2. Step 2: Convert to fraction form
    1,819.28/2,507.95 = 1,446.41/x
  3. Step 3: Cross multiply
    1,819.28x = 2,507.95 × 1,446.41
  4. Step 4: Simplify right side
    1,819.28x = 3,627,511.42
  5. Step 5: Solve for x
    x = 3,627,511.42/1,819.28
  6. Step 6: Final answer
    x = 1,993.93

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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.