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Finding the Fourth Proportional to 4,192.69, 6,289.02 and 1,270.99

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Solution

The fourth proportional to 4,192.69, 6,289.02 and 1,270.99 is: 1,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.69 : 6,289.02 = 1,270.99 : x
  2. Step 2: Convert to fraction form
    4,192.69/6,289.02 = 1,270.99/x
  3. Step 3: Cross multiply
    4,192.69x = 6,289.02 × 1,270.99
  4. Step 4: Simplify right side
    4,192.69x = 7,993,281.53
  5. Step 5: Solve for x
    x = 7,993,281.53/4,192.69
  6. Step 6: Final answer
    x = 1,906.48

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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.