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Finding the Fourth Proportional to 1,481.76, 2,224.56 and 935.04

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Solution

The fourth proportional to 1,481.76, 2,224.56 and 935.04 is: 1,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.76 : 2,224.56 = 935.04 : x
  2. Step 2: Convert to fraction form
    1,481.76/2,224.56 = 935.04/x
  3. Step 3: Cross multiply
    1,481.76x = 2,224.56 × 935.04
  4. Step 4: Simplify right side
    1,481.76x = 2,080,052.58
  5. Step 5: Solve for x
    x = 2,080,052.58/1,481.76
  6. Step 6: Final answer
    x = 1,403.77

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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.