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Finding the Fourth Proportional to 1,819.66, 2,511.11 and 1,033.69

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Solution

The fourth proportional to 1,819.66, 2,511.11 and 1,033.69 is: 1,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.66 : 2,511.11 = 1,033.69 : x
  2. Step 2: Convert to fraction form
    1,819.66/2,511.11 = 1,033.69/x
  3. Step 3: Cross multiply
    1,819.66x = 2,511.11 × 1,033.69
  4. Step 4: Simplify right side
    1,819.66x = 2,595,705.60
  5. Step 5: Solve for x
    x = 2,595,705.60/1,819.66
  6. Step 6: Final answer
    x = 1,426.48

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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.