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Finding the Fourth Proportional to 2,679.83, 4,019.85 and 732.03

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Solution

The fourth proportional to 2,679.83, 4,019.85 and 732.03 is: 1,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.83 : 4,019.85 = 732.03 : x
  2. Step 2: Convert to fraction form
    2,679.83/4,019.85 = 732.03/x
  3. Step 3: Cross multiply
    2,679.83x = 4,019.85 × 732.03
  4. Step 4: Simplify right side
    2,679.83x = 2,942,635.72
  5. Step 5: Solve for x
    x = 2,942,635.72/2,679.83
  6. Step 6: Final answer
    x = 1,098.07

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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.