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Finding the Fourth Proportional to 2,408.64, 3,610.24 and 868.48

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Solution

The fourth proportional to 2,408.64, 3,610.24 and 868.48 is: 1,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.64 : 3,610.24 = 868.48 : x
  2. Step 2: Convert to fraction form
    2,408.64/3,610.24 = 868.48/x
  3. Step 3: Cross multiply
    2,408.64x = 3,610.24 × 868.48
  4. Step 4: Simplify right side
    2,408.64x = 3,135,421.24
  5. Step 5: Solve for x
    x = 3,135,421.24/2,408.64
  6. Step 6: Final answer
    x = 1,301.74

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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.