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Finding the Fourth Proportional to 2,679.86, 4,019.48 and 732.21

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Solution

The fourth proportional to 2,679.86, 4,019.48 and 732.21 is: 1,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.86 : 4,019.48 = 732.21 : x
  2. Step 2: Convert to fraction form
    2,679.86/4,019.48 = 732.21/x
  3. Step 3: Cross multiply
    2,679.86x = 4,019.48 × 732.21
  4. Step 4: Simplify right side
    2,679.86x = 2,943,099.79
  5. Step 5: Solve for x
    x = 2,943,099.79/2,679.86
  6. Step 6: Final answer
    x = 1,098.23

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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.