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Finding the Fourth Proportional to 2,874.48, 3,966 and 1,694.64

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Solution

The fourth proportional to 2,874.48, 3,966 and 1,694.64 is: 2,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 3,966 = 1,694.64 : x
  2. Step 2: Convert to fraction form
    2,874.48/3,966 = 1,694.64/x
  3. Step 3: Cross multiply
    2,874.48x = 3,966 × 1,694.64
  4. Step 4: Simplify right side
    2,874.48x = 6,720,942.24
  5. Step 5: Solve for x
    x = 6,720,942.24/2,874.48
  6. Step 6: Final answer
    x = 2,338.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.