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Finding the Fourth Proportional to 2,251.90, 3,378 and 1,082.17

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Solution

The fourth proportional to 2,251.90, 3,378 and 1,082.17 is: 1,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.90 : 3,378 = 1,082.17 : x
  2. Step 2: Convert to fraction form
    2,251.90/3,378 = 1,082.17/x
  3. Step 3: Cross multiply
    2,251.90x = 3,378 × 1,082.17
  4. Step 4: Simplify right side
    2,251.90x = 3,655,570.26
  5. Step 5: Solve for x
    x = 3,655,570.26/2,251.90
  6. Step 6: Final answer
    x = 1,623.33

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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.