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Finding the Fourth Proportional to 2,814.56, 3,883.92 and 1,635.56

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Solution

The fourth proportional to 2,814.56, 3,883.92 and 1,635.56 is: 2,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.56 : 3,883.92 = 1,635.56 : x
  2. Step 2: Convert to fraction form
    2,814.56/3,883.92 = 1,635.56/x
  3. Step 3: Cross multiply
    2,814.56x = 3,883.92 × 1,635.56
  4. Step 4: Simplify right side
    2,814.56x = 6,352,384.20
  5. Step 5: Solve for x
    x = 6,352,384.20/2,814.56
  6. Step 6: Final answer
    x = 2,256.97

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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.