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Finding the Fourth Proportional to 1,448.32, 1,999.20 and 1,323.04

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Solution

The fourth proportional to 1,448.32, 1,999.20 and 1,323.04 is: 1,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.32 : 1,999.20 = 1,323.04 : x
  2. Step 2: Convert to fraction form
    1,448.32/1,999.20 = 1,323.04/x
  3. Step 3: Cross multiply
    1,448.32x = 1,999.20 × 1,323.04
  4. Step 4: Simplify right side
    1,448.32x = 2,645,021.57
  5. Step 5: Solve for x
    x = 2,645,021.57/1,448.32
  6. Step 6: Final answer
    x = 1,826.27

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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.