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Finding the Fourth Proportional to 3,266.30, 4,899.90 and 1,185.80

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Solution

The fourth proportional to 3,266.30, 4,899.90 and 1,185.80 is: 1,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.30 : 4,899.90 = 1,185.80 : x
  2. Step 2: Convert to fraction form
    3,266.30/4,899.90 = 1,185.80/x
  3. Step 3: Cross multiply
    3,266.30x = 4,899.90 × 1,185.80
  4. Step 4: Simplify right side
    3,266.30x = 5,810,301.42
  5. Step 5: Solve for x
    x = 5,810,301.42/3,266.30
  6. Step 6: Final answer
    x = 1,778.86

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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.