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Finding the Fourth Proportional to 2,459.05, 3,687.49 and 727.27

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Solution

The fourth proportional to 2,459.05, 3,687.49 and 727.27 is: 1,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.05 : 3,687.49 = 727.27 : x
  2. Step 2: Convert to fraction form
    2,459.05/3,687.49 = 727.27/x
  3. Step 3: Cross multiply
    2,459.05x = 3,687.49 × 727.27
  4. Step 4: Simplify right side
    2,459.05x = 2,681,800.85
  5. Step 5: Solve for x
    x = 2,681,800.85/2,459.05
  6. Step 6: Final answer
    x = 1,090.58

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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.