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Finding the Fourth Proportional to 1,822.14, 2,733.12 and 727.20

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Solution

The fourth proportional to 1,822.14, 2,733.12 and 727.20 is: 1,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.14 : 2,733.12 = 727.20 : x
  2. Step 2: Convert to fraction form
    1,822.14/2,733.12 = 727.20/x
  3. Step 3: Cross multiply
    1,822.14x = 2,733.12 × 727.20
  4. Step 4: Simplify right side
    1,822.14x = 1,987,524.86
  5. Step 5: Solve for x
    x = 1,987,524.86/1,822.14
  6. Step 6: Final answer
    x = 1,090.76

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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.