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Finding the Fourth Proportional to 2,814.78, 3,884.63 and 1,635.78

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Solution

The fourth proportional to 2,814.78, 3,884.63 and 1,635.78 is: 2,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.78 : 3,884.63 = 1,635.78 : x
  2. Step 2: Convert to fraction form
    2,814.78/3,884.63 = 1,635.78/x
  3. Step 3: Cross multiply
    2,814.78x = 3,884.63 × 1,635.78
  4. Step 4: Simplify right side
    2,814.78x = 6,354,400.06
  5. Step 5: Solve for x
    x = 6,354,400.06/2,814.78
  6. Step 6: Final answer
    x = 2,257.51

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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.