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Finding the Fourth Proportional to 2,157.44, 3,233.42 and 1,377.20

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Solution

The fourth proportional to 2,157.44, 3,233.42 and 1,377.20 is: 2,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.44 : 3,233.42 = 1,377.20 : x
  2. Step 2: Convert to fraction form
    2,157.44/3,233.42 = 1,377.20/x
  3. Step 3: Cross multiply
    2,157.44x = 3,233.42 × 1,377.20
  4. Step 4: Simplify right side
    2,157.44x = 4,453,072.39
  5. Step 5: Solve for x
    x = 4,453,072.39/2,157.44
  6. Step 6: Final answer
    x = 2,064.06

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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.