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Finding the Fourth Proportional to 6,180.96, 9,273.41 and 1,798.68

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Solution

The fourth proportional to 6,180.96, 9,273.41 and 1,798.68 is: 2,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.96 : 9,273.41 = 1,798.68 : x
  2. Step 2: Convert to fraction form
    6,180.96/9,273.41 = 1,798.68/x
  3. Step 3: Cross multiply
    6,180.96x = 9,273.41 × 1,798.68
  4. Step 4: Simplify right side
    6,180.96x = 16,679,855.23
  5. Step 5: Solve for x
    x = 16,679,855.23/6,180.96
  6. Step 6: Final answer
    x = 2,698.59

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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.