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Finding the Fourth Proportional to 2,486.79, 3,727.33 and 1,099.64

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Solution

The fourth proportional to 2,486.79, 3,727.33 and 1,099.64 is: 1,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.79 : 3,727.33 = 1,099.64 : x
  2. Step 2: Convert to fraction form
    2,486.79/3,727.33 = 1,099.64/x
  3. Step 3: Cross multiply
    2,486.79x = 3,727.33 × 1,099.64
  4. Step 4: Simplify right side
    2,486.79x = 4,098,727.73
  5. Step 5: Solve for x
    x = 4,098,727.73/2,486.79
  6. Step 6: Final answer
    x = 1,648.20

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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.