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Finding the Fourth Proportional to 3,099.85, 4,647.11 and 1,019.30

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Solution

The fourth proportional to 3,099.85, 4,647.11 and 1,019.30 is: 1,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.85 : 4,647.11 = 1,019.30 : x
  2. Step 2: Convert to fraction form
    3,099.85/4,647.11 = 1,019.30/x
  3. Step 3: Cross multiply
    3,099.85x = 4,647.11 × 1,019.30
  4. Step 4: Simplify right side
    3,099.85x = 4,736,778.54
  5. Step 5: Solve for x
    x = 4,736,778.54/3,099.85
  6. Step 6: Final answer
    x = 1,528.07

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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.