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Finding the Fourth Proportional to 2,082.41, 3,122.75 and 1,041.17

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Solution

The fourth proportional to 2,082.41, 3,122.75 and 1,041.17 is: 1,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.41 : 3,122.75 = 1,041.17 : x
  2. Step 2: Convert to fraction form
    2,082.41/3,122.75 = 1,041.17/x
  3. Step 3: Cross multiply
    2,082.41x = 3,122.75 × 1,041.17
  4. Step 4: Simplify right side
    2,082.41x = 3,251,292.80
  5. Step 5: Solve for x
    x = 3,251,292.80/2,082.41
  6. Step 6: Final answer
    x = 1,561.32

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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.