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Finding the Fourth Proportional to 1,636.72, 2,451.75 and 1,308.21

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Solution

The fourth proportional to 1,636.72, 2,451.75 and 1,308.21 is: 1,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.72 : 2,451.75 = 1,308.21 : x
  2. Step 2: Convert to fraction form
    1,636.72/2,451.75 = 1,308.21/x
  3. Step 3: Cross multiply
    1,636.72x = 2,451.75 × 1,308.21
  4. Step 4: Simplify right side
    1,636.72x = 3,207,403.87
  5. Step 5: Solve for x
    x = 3,207,403.87/1,636.72
  6. Step 6: Final answer
    x = 1,959.65

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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.