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Finding the Fourth Proportional to 1,645.92, 2,469.69 and 1,126.71

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Solution

The fourth proportional to 1,645.92, 2,469.69 and 1,126.71 is: 1,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.92 : 2,469.69 = 1,126.71 : x
  2. Step 2: Convert to fraction form
    1,645.92/2,469.69 = 1,126.71/x
  3. Step 3: Cross multiply
    1,645.92x = 2,469.69 × 1,126.71
  4. Step 4: Simplify right side
    1,645.92x = 2,782,624.42
  5. Step 5: Solve for x
    x = 2,782,624.42/1,645.92
  6. Step 6: Final answer
    x = 1,690.62

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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.