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Finding the Fourth Proportional to 2,640.95, 3,959.95 and 1,082.04

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Solution

The fourth proportional to 2,640.95, 3,959.95 and 1,082.04 is: 1,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.95 : 3,959.95 = 1,082.04 : x
  2. Step 2: Convert to fraction form
    2,640.95/3,959.95 = 1,082.04/x
  3. Step 3: Cross multiply
    2,640.95x = 3,959.95 × 1,082.04
  4. Step 4: Simplify right side
    2,640.95x = 4,284,818.89
  5. Step 5: Solve for x
    x = 4,284,818.89/2,640.95
  6. Step 6: Final answer
    x = 1,622.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.