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Finding the Fourth Proportional to 2,735.57, 4,082.00 and 2,441.04

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Solution

The fourth proportional to 2,735.57, 4,082.00 and 2,441.04 is: 3,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.57 : 4,082.00 = 2,441.04 : x
  2. Step 2: Convert to fraction form
    2,735.57/4,082.00 = 2,441.04/x
  3. Step 3: Cross multiply
    2,735.57x = 4,082.00 × 2,441.04
  4. Step 4: Simplify right side
    2,735.57x = 9,964,313.07
  5. Step 5: Solve for x
    x = 9,964,313.07/2,735.57
  6. Step 6: Final answer
    x = 3,642.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.