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Finding the Fourth Proportional to 4,180.00, 6,269.20 and 2,099.45

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Solution

The fourth proportional to 4,180.00, 6,269.20 and 2,099.45 is: 3,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.00 : 6,269.20 = 2,099.45 : x
  2. Step 2: Convert to fraction form
    4,180.00/6,269.20 = 2,099.45/x
  3. Step 3: Cross multiply
    4,180.00x = 6,269.20 × 2,099.45
  4. Step 4: Simplify right side
    4,180.00x = 13,161,847.10
  5. Step 5: Solve for x
    x = 13,161,847.10/4,180.00
  6. Step 6: Final answer
    x = 3,148.77

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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.