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Finding the Fourth Proportional to 1,651.14, 2,274.21 and 1,278.09

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Solution

The fourth proportional to 1,651.14, 2,274.21 and 1,278.09 is: 1,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.14 : 2,274.21 = 1,278.09 : x
  2. Step 2: Convert to fraction form
    1,651.14/2,274.21 = 1,278.09/x
  3. Step 3: Cross multiply
    1,651.14x = 2,274.21 × 1,278.09
  4. Step 4: Simplify right side
    1,651.14x = 2,906,645.06
  5. Step 5: Solve for x
    x = 2,906,645.06/1,651.14
  6. Step 6: Final answer
    x = 1,760.39

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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.