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Finding the Fourth Proportional to 3,670.44, 5,505.78 and 1,205.22

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Solution

The fourth proportional to 3,670.44, 5,505.78 and 1,205.22 is: 1,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.44 : 5,505.78 = 1,205.22 : x
  2. Step 2: Convert to fraction form
    3,670.44/5,505.78 = 1,205.22/x
  3. Step 3: Cross multiply
    3,670.44x = 5,505.78 × 1,205.22
  4. Step 4: Simplify right side
    3,670.44x = 6,635,676.17
  5. Step 5: Solve for x
    x = 6,635,676.17/3,670.44
  6. Step 6: Final answer
    x = 1,807.87

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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.