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Finding the Fourth Proportional to 2,408.60, 3,614.10 and 1,353.75

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Solution

The fourth proportional to 2,408.60, 3,614.10 and 1,353.75 is: 2,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.60 : 3,614.10 = 1,353.75 : x
  2. Step 2: Convert to fraction form
    2,408.60/3,614.10 = 1,353.75/x
  3. Step 3: Cross multiply
    2,408.60x = 3,614.10 × 1,353.75
  4. Step 4: Simplify right side
    2,408.60x = 4,892,587.88
  5. Step 5: Solve for x
    x = 4,892,587.88/2,408.60
  6. Step 6: Final answer
    x = 2,031.30

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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.