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Finding the Fourth Proportional to 2,138.24, 3,203.80 and 2,057.20

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Solution

The fourth proportional to 2,138.24, 3,203.80 and 2,057.20 is: 3,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.24 : 3,203.80 = 2,057.20 : x
  2. Step 2: Convert to fraction form
    2,138.24/3,203.80 = 2,057.20/x
  3. Step 3: Cross multiply
    2,138.24x = 3,203.80 × 2,057.20
  4. Step 4: Simplify right side
    2,138.24x = 6,590,857.36
  5. Step 5: Solve for x
    x = 6,590,857.36/2,138.24
  6. Step 6: Final answer
    x = 3,082.37

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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.