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Finding the Fourth Proportional to 1,372.32, 2,057.76 and 721.44

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Solution

The fourth proportional to 1,372.32, 2,057.76 and 721.44 is: 1,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.32 : 2,057.76 = 721.44 : x
  2. Step 2: Convert to fraction form
    1,372.32/2,057.76 = 721.44/x
  3. Step 3: Cross multiply
    1,372.32x = 2,057.76 × 721.44
  4. Step 4: Simplify right side
    1,372.32x = 1,484,550.37
  5. Step 5: Solve for x
    x = 1,484,550.37/1,372.32
  6. Step 6: Final answer
    x = 1,081.78

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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.