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Finding the Fourth Proportional to 1,455.12, 2,183.44 and 797.47

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Solution

The fourth proportional to 1,455.12, 2,183.44 and 797.47 is: 1,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.12 : 2,183.44 = 797.47 : x
  2. Step 2: Convert to fraction form
    1,455.12/2,183.44 = 797.47/x
  3. Step 3: Cross multiply
    1,455.12x = 2,183.44 × 797.47
  4. Step 4: Simplify right side
    1,455.12x = 1,741,227.90
  5. Step 5: Solve for x
    x = 1,741,227.90/1,455.12
  6. Step 6: Final answer
    x = 1,196.62

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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.