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Finding the Fourth Proportional to 1,819.82, 2,511.39 and 1,023.16

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Solution

The fourth proportional to 1,819.82, 2,511.39 and 1,023.16 is: 1,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.82 : 2,511.39 = 1,023.16 : x
  2. Step 2: Convert to fraction form
    1,819.82/2,511.39 = 1,023.16/x
  3. Step 3: Cross multiply
    1,819.82x = 2,511.39 × 1,023.16
  4. Step 4: Simplify right side
    1,819.82x = 2,569,553.79
  5. Step 5: Solve for x
    x = 2,569,553.79/1,819.82
  6. Step 6: Final answer
    x = 1,411.98

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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.