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Finding the Fourth Proportional to 1,274.24, 1,758.72 and 1,175.42

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Solution

The fourth proportional to 1,274.24, 1,758.72 and 1,175.42 is: 1,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.24 : 1,758.72 = 1,175.42 : x
  2. Step 2: Convert to fraction form
    1,274.24/1,758.72 = 1,175.42/x
  3. Step 3: Cross multiply
    1,274.24x = 1,758.72 × 1,175.42
  4. Step 4: Simplify right side
    1,274.24x = 2,067,234.66
  5. Step 5: Solve for x
    x = 2,067,234.66/1,274.24
  6. Step 6: Final answer
    x = 1,622.33

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