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Finding the Fourth Proportional to 2,459.14, 3,688.32 and 727.36

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Solution

The fourth proportional to 2,459.14, 3,688.32 and 727.36 is: 1,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.14 : 3,688.32 = 727.36 : x
  2. Step 2: Convert to fraction form
    2,459.14/3,688.32 = 727.36/x
  3. Step 3: Cross multiply
    2,459.14x = 3,688.32 × 727.36
  4. Step 4: Simplify right side
    2,459.14x = 2,682,736.44
  5. Step 5: Solve for x
    x = 2,682,736.44/2,459.14
  6. Step 6: Final answer
    x = 1,090.92

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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.