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Finding the Fourth Proportional to 2,504.38, 3,754.54 and 1,044.62

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Solution

The fourth proportional to 2,504.38, 3,754.54 and 1,044.62 is: 1,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.38 : 3,754.54 = 1,044.62 : x
  2. Step 2: Convert to fraction form
    2,504.38/3,754.54 = 1,044.62/x
  3. Step 3: Cross multiply
    2,504.38x = 3,754.54 × 1,044.62
  4. Step 4: Simplify right side
    2,504.38x = 3,922,067.57
  5. Step 5: Solve for x
    x = 3,922,067.57/2,504.38
  6. Step 6: Final answer
    x = 1,566.08

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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.