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Finding the Fourth Proportional to 1,650.43, 2,473.09 and 1,100.62

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Solution

The fourth proportional to 1,650.43, 2,473.09 and 1,100.62 is: 1,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.43 : 2,473.09 = 1,100.62 : x
  2. Step 2: Convert to fraction form
    1,650.43/2,473.09 = 1,100.62/x
  3. Step 3: Cross multiply
    1,650.43x = 2,473.09 × 1,100.62
  4. Step 4: Simplify right side
    1,650.43x = 2,721,932.32
  5. Step 5: Solve for x
    x = 2,721,932.32/1,650.43
  6. Step 6: Final answer
    x = 1,649.23

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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.