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Finding the Fourth Proportional to 2,182.36, 3,272.32 and 721.12

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Solution

The fourth proportional to 2,182.36, 3,272.32 and 721.12 is: 1,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.36 : 3,272.32 = 721.12 : x
  2. Step 2: Convert to fraction form
    2,182.36/3,272.32 = 721.12/x
  3. Step 3: Cross multiply
    2,182.36x = 3,272.32 × 721.12
  4. Step 4: Simplify right side
    2,182.36x = 2,359,735.40
  5. Step 5: Solve for x
    x = 2,359,735.40/2,182.36
  6. Step 6: Final answer
    x = 1,081.28

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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.