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Finding the Fourth Proportional to 4,099.15, 6,149.03 and 1,177.48

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Solution

The fourth proportional to 4,099.15, 6,149.03 and 1,177.48 is: 1,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.15 : 6,149.03 = 1,177.48 : x
  2. Step 2: Convert to fraction form
    4,099.15/6,149.03 = 1,177.48/x
  3. Step 3: Cross multiply
    4,099.15x = 6,149.03 × 1,177.48
  4. Step 4: Simplify right side
    4,099.15x = 7,240,359.84
  5. Step 5: Solve for x
    x = 7,240,359.84/4,099.15
  6. Step 6: Final answer
    x = 1,766.31

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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.