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Finding the Fourth Proportional to 1,274.14, 1,907.97 and 1,167.22

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Solution

The fourth proportional to 1,274.14, 1,907.97 and 1,167.22 is: 1,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.14 : 1,907.97 = 1,167.22 : x
  2. Step 2: Convert to fraction form
    1,274.14/1,907.97 = 1,167.22/x
  3. Step 3: Cross multiply
    1,274.14x = 1,907.97 × 1,167.22
  4. Step 4: Simplify right side
    1,274.14x = 2,227,020.74
  5. Step 5: Solve for x
    x = 2,227,020.74/1,274.14
  6. Step 6: Final answer
    x = 1,747.86

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