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Finding the Fourth Proportional to 1,906.99, 2,632.44 and 1,382.92

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Solution

The fourth proportional to 1,906.99, 2,632.44 and 1,382.92 is: 1,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.99 : 2,632.44 = 1,382.92 : x
  2. Step 2: Convert to fraction form
    1,906.99/2,632.44 = 1,382.92/x
  3. Step 3: Cross multiply
    1,906.99x = 2,632.44 × 1,382.92
  4. Step 4: Simplify right side
    1,906.99x = 3,640,453.92
  5. Step 5: Solve for x
    x = 3,640,453.92/1,906.99
  6. Step 6: Final answer
    x = 1,909.01

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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.