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Finding the Fourth Proportional to 3,082.25, 4,253.51 and 1,980.17

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Solution

The fourth proportional to 3,082.25, 4,253.51 and 1,980.17 is: 2,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.25 : 4,253.51 = 1,980.17 : x
  2. Step 2: Convert to fraction form
    3,082.25/4,253.51 = 1,980.17/x
  3. Step 3: Cross multiply
    3,082.25x = 4,253.51 × 1,980.17
  4. Step 4: Simplify right side
    3,082.25x = 8,422,663.00
  5. Step 5: Solve for x
    x = 8,422,663.00/3,082.25
  6. Step 6: Final answer
    x = 2,732.63

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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.