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Finding the Fourth Proportional to 3,232.22, 4,847.44 and 891.68

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Solution

The fourth proportional to 3,232.22, 4,847.44 and 891.68 is: 1,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.22 : 4,847.44 = 891.68 : x
  2. Step 2: Convert to fraction form
    3,232.22/4,847.44 = 891.68/x
  3. Step 3: Cross multiply
    3,232.22x = 4,847.44 × 891.68
  4. Step 4: Simplify right side
    3,232.22x = 4,322,341.06
  5. Step 5: Solve for x
    x = 4,322,341.06/3,232.22
  6. Step 6: Final answer
    x = 1,337.27

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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.