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Finding the Fourth Proportional to 2,578, 3,558.12 and 1,474

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Solution

The fourth proportional to 2,578, 3,558.12 and 1,474 is: 2,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578 : 3,558.12 = 1,474 : x
  2. Step 2: Convert to fraction form
    2,578/3,558.12 = 1,474/x
  3. Step 3: Cross multiply
    2,578x = 3,558.12 × 1,474
  4. Step 4: Simplify right side
    2,578x = 5,244,668.88
  5. Step 5: Solve for x
    x = 5,244,668.88/2,578
  6. Step 6: Final answer
    x = 2,034.39

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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.