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Finding the Fourth Proportional to 2,414.46, 3,621.69 and 683.04

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Solution

The fourth proportional to 2,414.46, 3,621.69 and 683.04 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.46 : 3,621.69 = 683.04 : x
  2. Step 2: Convert to fraction form
    2,414.46/3,621.69 = 683.04/x
  3. Step 3: Cross multiply
    2,414.46x = 3,621.69 × 683.04
  4. Step 4: Simplify right side
    2,414.46x = 2,473,759.14
  5. Step 5: Solve for x
    x = 2,473,759.14/2,414.46
  6. Step 6: Final answer
    x = 1,024.56

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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.