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Finding the Fourth Proportional to 1,444.62, 2,165.41 and 819.13

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Solution

The fourth proportional to 1,444.62, 2,165.41 and 819.13 is: 1,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.62 : 2,165.41 = 819.13 : x
  2. Step 2: Convert to fraction form
    1,444.62/2,165.41 = 819.13/x
  3. Step 3: Cross multiply
    1,444.62x = 2,165.41 × 819.13
  4. Step 4: Simplify right side
    1,444.62x = 1,773,752.29
  5. Step 5: Solve for x
    x = 1,773,752.29/1,444.62
  6. Step 6: Final answer
    x = 1,227.83

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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.