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Finding the Fourth Proportional to 2,265.91, 3,126.91 and 1,257.56

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Solution

The fourth proportional to 2,265.91, 3,126.91 and 1,257.56 is: 1,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.91 : 3,126.91 = 1,257.56 : x
  2. Step 2: Convert to fraction form
    2,265.91/3,126.91 = 1,257.56/x
  3. Step 3: Cross multiply
    2,265.91x = 3,126.91 × 1,257.56
  4. Step 4: Simplify right side
    2,265.91x = 3,932,288.62
  5. Step 5: Solve for x
    x = 3,932,288.62/2,265.91
  6. Step 6: Final answer
    x = 1,735.41

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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.