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Finding the Fourth Proportional to 3,322.45, 4,585 and 1,906.20

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Solution

The fourth proportional to 3,322.45, 4,585 and 1,906.20 is: 2,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.45 : 4,585 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,322.45/4,585 = 1,906.20/x
  3. Step 3: Cross multiply
    3,322.45x = 4,585 × 1,906.20
  4. Step 4: Simplify right side
    3,322.45x = 8,739,904.08
  5. Step 5: Solve for x
    x = 8,739,904.08/3,322.45
  6. Step 6: Final answer
    x = 2,630.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.