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Finding the Fourth Proportional to 1,649.57, 2,474.35 and 1,324.28

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Solution

The fourth proportional to 1,649.57, 2,474.35 and 1,324.28 is: 1,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.57 : 2,474.35 = 1,324.28 : x
  2. Step 2: Convert to fraction form
    1,649.57/2,474.35 = 1,324.28/x
  3. Step 3: Cross multiply
    1,649.57x = 2,474.35 × 1,324.28
  4. Step 4: Simplify right side
    1,649.57x = 3,276,735.09
  5. Step 5: Solve for x
    x = 3,276,735.09/1,649.57
  6. Step 6: Final answer
    x = 1,986.42

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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.