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Finding the Fourth Proportional to 3,099.69, 4,650.21 and 1,540.08

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Solution

The fourth proportional to 3,099.69, 4,650.21 and 1,540.08 is: 2,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.69 : 4,650.21 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    3,099.69/4,650.21 = 1,540.08/x
  3. Step 3: Cross multiply
    3,099.69x = 4,650.21 × 1,540.08
  4. Step 4: Simplify right side
    3,099.69x = 7,161,695.42
  5. Step 5: Solve for x
    x = 7,161,695.42/3,099.69
  6. Step 6: Final answer
    x = 2,310.46

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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.