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Finding the Fourth Proportional to 1,481.15, 2,219.57 and 832.07

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Solution

The fourth proportional to 1,481.15, 2,219.57 and 832.07 is: 1,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.15 : 2,219.57 = 832.07 : x
  2. Step 2: Convert to fraction form
    1,481.15/2,219.57 = 832.07/x
  3. Step 3: Cross multiply
    1,481.15x = 2,219.57 × 832.07
  4. Step 4: Simplify right side
    1,481.15x = 1,846,833.45
  5. Step 5: Solve for x
    x = 1,846,833.45/1,481.15
  6. Step 6: Final answer
    x = 1,246.89

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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.