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Finding the Fourth Proportional to 2,234.34, 3,082.14 and 1,448.28

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Solution

The fourth proportional to 2,234.34, 3,082.14 and 1,448.28 is: 1,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.34 : 3,082.14 = 1,448.28 : x
  2. Step 2: Convert to fraction form
    2,234.34/3,082.14 = 1,448.28/x
  3. Step 3: Cross multiply
    2,234.34x = 3,082.14 × 1,448.28
  4. Step 4: Simplify right side
    2,234.34x = 4,463,801.72
  5. Step 5: Solve for x
    x = 4,463,801.72/2,234.34
  6. Step 6: Final answer
    x = 1,997.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.