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Finding the Fourth Proportional to 3,169.42, 4,754.31 and 1,221.60

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Solution

The fourth proportional to 3,169.42, 4,754.31 and 1,221.60 is: 1,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.42 : 4,754.31 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    3,169.42/4,754.31 = 1,221.60/x
  3. Step 3: Cross multiply
    3,169.42x = 4,754.31 × 1,221.60
  4. Step 4: Simplify right side
    3,169.42x = 5,807,865.10
  5. Step 5: Solve for x
    x = 5,807,865.10/3,169.42
  6. Step 6: Final answer
    x = 1,832.47

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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.