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Finding the Fourth Proportional to 1,605.92, 2,217.68 and 1,489.44

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Solution

The fourth proportional to 1,605.92, 2,217.68 and 1,489.44 is: 2,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.92 : 2,217.68 = 1,489.44 : x
  2. Step 2: Convert to fraction form
    1,605.92/2,217.68 = 1,489.44/x
  3. Step 3: Cross multiply
    1,605.92x = 2,217.68 × 1,489.44
  4. Step 4: Simplify right side
    1,605.92x = 3,303,101.30
  5. Step 5: Solve for x
    x = 3,303,101.30/1,605.92
  6. Step 6: Final answer
    x = 2,056.83

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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.