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Finding the Fourth Proportional to 1,766.24, 2,649.37 and 1,282.37

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Solution

The fourth proportional to 1,766.24, 2,649.37 and 1,282.37 is: 1,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.24 : 2,649.37 = 1,282.37 : x
  2. Step 2: Convert to fraction form
    1,766.24/2,649.37 = 1,282.37/x
  3. Step 3: Cross multiply
    1,766.24x = 2,649.37 × 1,282.37
  4. Step 4: Simplify right side
    1,766.24x = 3,397,471.06
  5. Step 5: Solve for x
    x = 3,397,471.06/1,766.24
  6. Step 6: Final answer
    x = 1,923.56

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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.