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Finding the Fourth Proportional to 2,408.63, 3,609.27 and 1,716.75

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Solution

The fourth proportional to 2,408.63, 3,609.27 and 1,716.75 is: 2,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.63 : 3,609.27 = 1,716.75 : x
  2. Step 2: Convert to fraction form
    2,408.63/3,609.27 = 1,716.75/x
  3. Step 3: Cross multiply
    2,408.63x = 3,609.27 × 1,716.75
  4. Step 4: Simplify right side
    2,408.63x = 6,196,214.27
  5. Step 5: Solve for x
    x = 6,196,214.27/2,408.63
  6. Step 6: Final answer
    x = 2,572.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.