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Finding the Fourth Proportional to 4,600.68, 6,899.60 and 2,408.22

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Solution

The fourth proportional to 4,600.68, 6,899.60 and 2,408.22 is: 3,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.68 : 6,899.60 = 2,408.22 : x
  2. Step 2: Convert to fraction form
    4,600.68/6,899.60 = 2,408.22/x
  3. Step 3: Cross multiply
    4,600.68x = 6,899.60 × 2,408.22
  4. Step 4: Simplify right side
    4,600.68x = 16,615,742.67
  5. Step 5: Solve for x
    x = 16,615,742.67/4,600.68
  6. Step 6: Final answer
    x = 3,611.58

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1.5x scale

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.