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Finding the Fourth Proportional to 4,268.49, 6,404.96 and 1,635.78

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Solution

The fourth proportional to 4,268.49, 6,404.96 and 1,635.78 is: 2,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.49 : 6,404.96 = 1,635.78 : x
  2. Step 2: Convert to fraction form
    4,268.49/6,404.96 = 1,635.78/x
  3. Step 3: Cross multiply
    4,268.49x = 6,404.96 × 1,635.78
  4. Step 4: Simplify right side
    4,268.49x = 10,477,105.47
  5. Step 5: Solve for x
    x = 10,477,105.47/4,268.49
  6. Step 6: Final answer
    x = 2,454.52

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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.