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Finding the Fourth Proportional to 1,635.83, 2,257.27 and 927.59

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Solution

The fourth proportional to 1,635.83, 2,257.27 and 927.59 is: 1,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.83 : 2,257.27 = 927.59 : x
  2. Step 2: Convert to fraction form
    1,635.83/2,257.27 = 927.59/x
  3. Step 3: Cross multiply
    1,635.83x = 2,257.27 × 927.59
  4. Step 4: Simplify right side
    1,635.83x = 2,093,807.47
  5. Step 5: Solve for x
    x = 2,093,807.47/1,635.83
  6. Step 6: Final answer
    x = 1,279.97

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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.